ORIGINAL_ARTICLE
SOME RESULTS ON THE COMPLEMENT OF THE INTERSECTION GRAPH OF SUBGROUPS OF A FINITE GROUP
Let G be a group. Recall that the intersection graph of subgroups of G is an undirected graph whose vertex set is the set of all nontrivial subgroups of G and distinct vertices H,K are joined by an edge in this graph if and only if the intersection of H and K is nontrivial. The aim of this article is to investigate the interplay between the group-theoretic properties of a finite group G and the graph-theoretic properties of the complement of the intersection graph of subgroups of G.
http://jas.shahroodut.ac.ir/article_1583_a9bb297705f77d5027f78b0e6762e92e.pdf
2020-01-01T11:23:20
2020-06-07T11:23:20
105
130
10.22044/jas.2018.5917.1296
Complement of the intersection graph of subgroups of a finite group
finite abelian group
connected graph
girth of a graph
S.
Visweswaran
s_visweswaran2006@yahoo.co.in
true
1
Department of Mathematics, Saurashtra University P.O.Box 360 005, Rajkot, India.
Department of Mathematics, Saurashtra University P.O.Box 360 005, Rajkot, India.
Department of Mathematics, Saurashtra University P.O.Box 360 005, Rajkot, India.
LEAD_AUTHOR
P.
Vadhel
pravin_2727@yahoo.com
true
2
Department of Mathematics, Saurashtra University P.O.Box 360 005, Rajkot, India.
Department of Mathematics, Saurashtra University P.O.Box 360 005, Rajkot, India.
Department of Mathematics, Saurashtra University P.O.Box 360 005, Rajkot, India.
AUTHOR
ORIGINAL_ARTICLE
THE SPECTRAL DETERMINATION OF THE MULTICONE GRAPHS Kw ▽ C WITH RESPECT TO THEIR SIGNLESS LAPLACIAN SPECTRA
The main aim of this study is to characterize new classes of multicone graphs which are determined by their signless Laplacian spectra. A multicone graph is defined to be the join of a clique and a regular graph. Let C and K w denote the Clebsch graph and a complete graph on w vertices, respectively. In this paper, we show that the multicone graphs K w ▽C are determined by their signless Laplacian spectrum.
http://jas.shahroodut.ac.ir/article_1584_263d68e7f82f30f4fffed73b805e5a47.pdf
2020-01-01T11:23:20
2020-06-07T11:23:20
131
141
10.22044/jas.2018.5879.1292
Clebsch graph
DS graph
Signless Laplacian spectra
Multicone graph
A.
Zeydi Abdian
aabdian67@gmail.com
true
1
Department of Mathematical Sciences, Lorestan University, Lorestan, Khoramabad,
Iran.
Department of Mathematical Sciences, Lorestan University, Lorestan, Khoramabad,
Iran.
Department of Mathematical Sciences, Lorestan University, Lorestan, Khoramabad,
Iran.
LEAD_AUTHOR
Gh. H.
Fath-Tabar
fathtabar@kashanu.ac.ir
true
2
Department of Pure Mathematics, Faculty of Mathematical Sciences, University
of Kashan, Kashan 87317-53153, Iran.
Department of Pure Mathematics, Faculty of Mathematical Sciences, University
of Kashan, Kashan 87317-53153, Iran.
Department of Pure Mathematics, Faculty of Mathematical Sciences, University
of Kashan, Kashan 87317-53153, Iran.
AUTHOR
M.
Rahmani Moghaddam
maryam.rahmanimoghadam@gmail.com
true
3
Department of Mathematics, Bu-Ali Sina University, Hamadan, Iran.
Department of Mathematics, Bu-Ali Sina University, Hamadan, Iran.
Department of Mathematics, Bu-Ali Sina University, Hamadan, Iran.
AUTHOR
ORIGINAL_ARTICLE
A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING
In this paper we introduce and study a graph on the set of ideals of a commutative ring $R$. The vertices of this graph are non-trivial ideals of $R$ and two distinct ideals $I$ and $J$ are adjacent if and only $IJ=I\cap J$. We obtain some properties of this graph and study its relation to the structure of $R$.
http://jas.shahroodut.ac.ir/article_1585_0115d6f468b7fb69d3639428ff331638.pdf
2020-01-01T11:23:20
2020-06-07T11:23:20
143
154
10.22044/jas.2019.7405.1365
Graph
diameter
Ring
Idempotent
H.
Dorbidi
hr_dorbidi@ujiroft.ac.ir
true
1
Department of Mathematics, Faculty of Science, University of Jiroft, P.O. Box
78671-61167, Jiroft, Iran.
Department of Mathematics, Faculty of Science, University of Jiroft, P.O. Box
78671-61167, Jiroft, Iran.
Department of Mathematics, Faculty of Science, University of Jiroft, P.O. Box
78671-61167, Jiroft, Iran.
AUTHOR
S.
Alikhani
alikhani@yazd.ac.ir
true
2
Department of Mathematics, Yazd University, 89195-741, Yazd, Iran.
Department of Mathematics, Yazd University, 89195-741, Yazd, Iran.
Department of Mathematics, Yazd University, 89195-741, Yazd, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
P-CLOSURE IN PSEUDO BCI-ALGEBRAS
In this paper, for any non-empty subset C of a pseudo BCI-algebra X, the concept of p-closure of C, denoted by C(pc), is introduced and some related properties are investigated. Applying this concept, a characterization of the minimal elements of X is given. It is proved that C(pc) is the least closed pseudo BCI-ideal of X containing C and K(X) for any ideal C of X. Finally, by using the concept of p-closure, a closure operator is introduced.
http://jas.shahroodut.ac.ir/article_1586_994b806d9cbd425ae6e15391715c3f04.pdf
2020-01-01T11:23:20
2020-06-07T11:23:20
155
165
10.22044/jas.2019.6332.1315
Pseudo BCI-algebra
Pseudo BCI-ideal
P-closure
Closure operator
H.
Harizavi
harizavi@scu.ac.ir
true
1
Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran.
Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran.
Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
A KIND OF F-INVERSE SPLIT MODULES
Let M be a right module over a ring R. In this manuscript, we shall study on a special case of F-inverse split modules where F is a fully invariant submodule of M introduced in [12]. We say M is Z 2(M)-inverse split provided f^(-1)(Z2(M)) is a direct summand of M for each endomorphism f of M. We prove that M is Z2(M)-inverse split if and only if M is a direct sum of Z2(M) and a Z2-torsionfree Rickart submodule. It is shown under some assumptions that the class of right perfect rings R for which every right R-module M is Z2(M)-inverse split (Z(M)-inverse split) is precisely that of right GV-rings.
http://jas.shahroodut.ac.ir/article_1587_488e6eda3752698fdd43a0b3c52a0dde.pdf
2020-01-01T11:23:20
2020-06-07T11:23:20
167
178
10.22044/jas.2019.7211.1353
Rickart module
Z(M)-inverse split module
Z^2(M)-inverse split module
M.
Hosseinpour
mehrab.hosseinpour@gmail.com
true
1
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran,
P.O. Box 47416-95447, Babolsar, Iran.
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran,
P.O. Box 47416-95447, Babolsar, Iran.
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran,
P.O. Box 47416-95447, Babolsar, Iran.
AUTHOR
A. R.
Moniri Hamzekolaee
a.monirih@umz.ac.ir
true
2
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran,
P.O. Box 47416-95447, Babolsar, Iran.
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran,
P.O. Box 47416-95447, Babolsar, Iran.
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran,
P.O. Box 47416-95447, Babolsar, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
A CHARACTERIZATION FOR METRIC TWO-DIMENSIONAL GRAPHS AND THEIR ENUMERATION
The \textit{metric dimension} of a connected graph $G$ is the minimum number of vertices in a subset $B$ of $G$ such that all other vertices are uniquely determined by their distances to the vertices in $B$. In this case, $B$ is called a \textit{metric basis} for $G$. The \textit{basic distance} of a metric two dimensional graph $G$ is the distance between the elements of $B$. Giving a characterization for those graphs whose metric dimensions are two, we enumerate the number of $n$ vertex metric two dimensional graphs with basic distance 1.
http://jas.shahroodut.ac.ir/article_1588_14ce71a7aec0d0417b21b3acf6be72d4.pdf
2020-01-01T11:23:20
2020-06-07T11:23:20
179
187
10.22044/jas.2019.7367.1363
Metric dimension
Resolving set
Metric basis
Basic distance
Contour of a graph
M.
Mohagheghy Nezhad
mostafa.mohaqeqi@mail.um.ac.ir
true
1
Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box
1159, Mashhad, Iran.
Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box
1159, Mashhad, Iran.
Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box
1159, Mashhad, Iran.
AUTHOR
F.
Rahbarnia
rahbarnia@um.ac.ir
true
2
Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box
1159, Mashhad, Iran.
Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box
1159, Mashhad, Iran.
Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box
1159, Mashhad, Iran.
LEAD_AUTHOR
M.
Mirzavaziri
mirzavaziri@um.ac.ir
true
3
Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159,
Mashhad, Iran.
Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159,
Mashhad, Iran.
Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159,
Mashhad, Iran.
AUTHOR
R.
Ghanbari
rghanbari@um.ac.ir
true
4
Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box
1159, Mashhad, Iran.
Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box
1159, Mashhad, Iran.
Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box
1159, Mashhad, Iran.
AUTHOR
ORIGINAL_ARTICLE
COMPUTING THE EIGENVALUES OF CAYLEY GRAPHS OF ORDER p2q
A graph is called symmetric if its full automorphism group acts transitively on the set of arcs. The Cayley graph $\Gamma=Cay(G,S)$ on group $G$ is said to be normal symmetric if $N_A(R(G))=R(G)\rtimes Aut(G,S)$ acts transitively on the set of arcs of $\Gamma$. In this paper, we classify all connected tetravalent normal symmetric Cayley graphs of order $p^2q$ where $p>q$ are prime numbers.
http://jas.shahroodut.ac.ir/article_1589_29d397f1277733df32fcf3acd511405d.pdf
2020-01-01T11:23:20
2020-06-07T11:23:20
189
203
10.22044/jas.2019.7034.1344
symmetric graph
Cayley graph
normal graph
arc-transitive graph
M.
Ghorbani
mghorbani@sru.ac.ir
true
1
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, Tehran, 16785-136, I. R. Iran.
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, Tehran, 16785-136, I. R. Iran.
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, Tehran, 16785-136, I. R. Iran.
LEAD_AUTHOR
A.
Seyyed-Hadi
aziz.saidhadi@gmail.com
true
2
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, Tehran, 16785-136, I. R. Iran.
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, Tehran, 16785-136, I. R. Iran.
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, Tehran, 16785-136, I. R. Iran.
AUTHOR
F.
Nowroozi-Larki
fnowroozi@gmail.com
true
3
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, Tehran, 16785-136, I. R. Iran.
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, Tehran, 16785-136, I. R. Iran.
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, Tehran, 16785-136, I. R. Iran.
AUTHOR
ORIGINAL_ARTICLE
A GENERALIZATION OF PRIME HYPERIDEALS IN KRASNER HYPERRINGS
In this paper, we extend the notion of 2-absorbing ideal on rings to Krasner hyperrings. In fact, we give a characterization of new generalization of prime hyperideals in Krasner hyperrings by introducing 2-absorbing hyperideals. We present some illustrative examples. Also, we study fundamental properties of 2-absorbing hyperideals on Krasner hyperrings and investigate some related results.
http://jas.shahroodut.ac.ir/article_1590_3ec344babdad88075d27f447c30faa6a.pdf
2020-01-01T11:23:20
2020-06-07T11:23:20
205
216
10.22044/jas.2019.6407.1318
Prime hyperideal
2-absorbing hyperideal
Krasner hyperring
L.
Kamali Ardekani
l.kamali@ardakan.ac.ir
true
1
Faculty of Engineering, Ardakan University, P.O. Box 184, Ardakan, Iran.
Faculty of Engineering, Ardakan University, P.O. Box 184, Ardakan, Iran.
Faculty of Engineering, Ardakan University, P.O. Box 184, Ardakan, Iran.
LEAD_AUTHOR
B.
Davvaz
davvaz@yazd.ac.ir
true
2
Department of Mathematics, Yazd University, Yazd, Iran.
Department of Mathematics, Yazd University, Yazd, Iran.
Department of Mathematics, Yazd University, Yazd, Iran.
AUTHOR
ORIGINAL_ARTICLE
EQUALIZERS IN THE CATEGORIES FUZZ AND TOPFUZZ
It is well known that the categories Fuzz of fuzzes and TopFuzz of topological fuzzes are both complete and cocomplete, and some categorical properties of them were introduced by many authors. In this paper, we introduce the structure of equalizers in these categories. In particular, we show that every regular monomorphism is an injective map, but monomorphisms need not be injective, in general.
http://jas.shahroodut.ac.ir/article_1591_456819627dfad4d16a4612d7f8c0f596.pdf
2020-01-01T11:23:20
2020-06-07T11:23:20
217
226
10.22044/jas.2019.7254.1355
Fuzz
Topological fuzz
Molecular lattice
Equalizer
Gh.
Mirhosseinkhani
gh.mirhosseini@yahoo.com
true
1
Department of Mathematics and Computer Sciences, Sirjan University of Technology,
Sirjan, Iran.
Department of Mathematics and Computer Sciences, Sirjan University of Technology,
Sirjan, Iran.
Department of Mathematics and Computer Sciences, Sirjan University of Technology,
Sirjan, Iran.
LEAD_AUTHOR
N.
Nazari
nazarinargesmath@yahoo.com
true
2
Department of Mathematics, University of Hormozgan, Bandarabbas, Iran.
Department of Mathematics, University of Hormozgan, Bandarabbas, Iran.
Department of Mathematics, University of Hormozgan, Bandarabbas, Iran.
AUTHOR
ORIGINAL_ARTICLE
ON SEMICOVERING, SUBSEMICOVERING, AND SUBCOVERING MAPS
In this paper, by reviewing the concept of subcovering and semicovering maps, we extend the notion of subcovering map to subsemicovering map. We present some necessary or sufficient conditions for a local homeomorphism to be a subsemicovering map. Moreover, we investigate the relationship between these conditions by some examples. Finally, we give a necessary and sufficient condition for a subsemicovering map to be semicovering.
http://jas.shahroodut.ac.ir/article_1592_46e995b39d0d2f43bc1e0729906f2507.pdf
2020-01-01T11:23:20
2020-06-07T11:23:20
227
244
10.22044/jas.2019.6941.1367
local homeomorphism
fundamental group
covering map
semicovering map subcovering map
subsemicovering map
M.
Kowkabi
m.kowkabi@stu.um.ac.ir
true
1
Department of Mathematics, University of Gonabad, P.O. Box 57678-96919, Gonabad,
Iran.
Department of Mathematics, University of Gonabad, P.O. Box 57678-96919, Gonabad,
Iran.
Department of Mathematics, University of Gonabad, P.O. Box 57678-96919, Gonabad,
Iran.
AUTHOR
B.
Mashayekhi
bmashf@um.ac.ir
true
2
Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159-
91775, Mashhad, Iran.
Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159-
91775, Mashhad, Iran.
Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159-
91775, Mashhad, Iran.
AUTHOR
H.
Torabi
h.torabi@ferdowsi.um.ac.ir
true
3
Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159-
91775, Mashhad, Iran.
Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159-
91775, Mashhad, Iran.
Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159-
91775, Mashhad, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
ON LOCAL ANTIMAGIC CHROMATIC NUMBER OF GRAPHS
A {\it local antimagic labeling} of a connected graph $G$ with at least three vertices, is a bijection $f:E(G) \rightarrow \{1,2,\ldots , |E(G)|\}$ such that for any two adjacent vertices $u$ and $v$ of $G$, the condition $\omega _{f}(u) \neq \omega _{f}(v)$ holds; where $\omega _{f}(u)=\sum _{x\in N(u)} f(xu)$. Assigning $\omega _{f}(u)$ to $u$ for each vertex $u$ in $V(G)$, induces naturally a proper vertex coloring of $G$; and $|f|$ denotes the number of colors appearing in this proper vertex coloring. The {\it local antimagic chromatic number} of $G$, denoted by $\chi _{la}(G)$, is defined as the minimum of $|f|$, where $f$ ranges over all local antimagic labelings of $G$. In this paper, we explicitly construct an infinite class of connected graphs $G$ such that $\chi _{la}(G)$ can be arbitrarily large while $\chi _{la}(G \vee \bar{K_{2}})=3$, where $G \vee \bar{K_{2}}$ is the join graph of $G$ and the complement graph of $K_{2}$. The aforementioned fact leads us to an infinite class of counterexamples to a result of [Local antimagic vertex coloring of a graph, Graphs and Combinatorics 33} (2017), 275-285].
http://jas.shahroodut.ac.ir/article_1593_af1188905d11cbb4a0f2430b514d9ffb.pdf
2020-01-01T11:23:20
2020-06-07T11:23:20
245
256
10.22044/jas.2019.7933.1391
Antimagic labeling
Local antimagic labeling
Local antimagic chromatic number
S.
Shaebani
shaebani@du.ac.ir
true
1
School of Mathematics and Computer Science, Damghan University, P.O. Box
36716-41167, Damghan, Iran.
School of Mathematics and Computer Science, Damghan University, P.O. Box
36716-41167, Damghan, Iran.
School of Mathematics and Computer Science, Damghan University, P.O. Box
36716-41167, Damghan, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
ON PRIMARY IDEALS OF POINTFREE FUNCTION RINGS
We study primary ideals of the ring $\mathcal{R}L$ of real-valued continuous functions on a completely regular frame $L$. We observe that prime ideals and primary ideals coincide in a $P$-frame. It is shown that every primary ideal in $\mathcal{R}L$ is contained in a unique maximal ideal, and an ideal $Q$ in $\mathcal{R}L$ is primary if and only if $Q \cap\mathcal{R}^*L$ is a primary ideal in $\mathcal{R}^*L$. We show that every pseudo-prime (primary) ideal in $\mathcal{R}L$ is either an essential ideal or a maximal ideal which is at the same time a minimal prime ideal. Finally, we prove that if $L$ is a connected frame, then the zero ideal in $\mathcal{R}L$ is decomposable if and only if $L={\bf2}$.
http://jas.shahroodut.ac.ir/article_1594_8108dcd6f42553890dfb9b0ba2055003.pdf
2020-01-01T11:23:20
2020-06-07T11:23:20
257
269
10.22044/jas.2019.8150.1399
Frame
primary ideal
pseudo-prime ideal
ring of continuous real-valued functions
decomposable ideal
M.
Abedi
abedi@esfarayen.ac.ir
true
1
Esfarayen University of Technology, Esfarayen, North Khorasan, Iran.
Esfarayen University of Technology, Esfarayen, North Khorasan, Iran.
Esfarayen University of Technology, Esfarayen, North Khorasan, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
A REDUCTION IN THE SEARCH SPACE OF QC-LDPC CODES WITH GIRTH 8
In this paper, we define a structure to obtain exponent matrices of girth-8 QC-LDPC codes with column weight 3. Using the difference matrices introduced by Amirzade et al., we investigate necessary and sufficient conditions which result in a Tanner graph with girth 8. Our proposed method contributes to reduce the search space in recognizing the elements of an exponent matrix. In fact, in this method we only search to obtain one row of an exponent matrix. The other rows are multiplications of that row.
http://jas.shahroodut.ac.ir/article_1595_a7ac6815ccabe0982d7a0162bf5de1b0.pdf
2020-01-01T11:23:20
2020-06-07T11:23:20
271
280
10.22044/jas.2019.8086.1397
QC-LDPC codes
girth
Difference matrices
Lifting degree
F.
Amirzade
famirzade@gmail.com
true
1
Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood,
Iran.
Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood,
Iran.
Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood,
Iran.
AUTHOR
M.
Alishahi
meysam_alishahi@shahroodut.ac.ir
true
2
Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood,
Iran.
Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood,
Iran.
Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood,
Iran.
AUTHOR
M.R.
Rafsanjani-Sadeghi
msadeghi@aut.ac.ir
true
3
Department of Mathematics and Computer Science, Amirkabir University of Technology,
Tehran, Iran.
Department of Mathematics and Computer Science, Amirkabir University of Technology,
Tehran, Iran.
Department of Mathematics and Computer Science, Amirkabir University of Technology,
Tehran, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
FILTER REGULAR SEQUENCES AND LOCAL COHOMOLOGY MODULES
Let R be a commutative Noetherian ring. In this paper we consider some relations between filter regular sequence,regular sequence and system of parameters over R-modules. Also we obtain some new results about cofinitness and cominimaxness of local cohomology modules.
http://jas.shahroodut.ac.ir/article_1596_84472fe9d4e3a9dc676cb38922816c2e.pdf
2020-01-01T11:23:20
2020-06-07T11:23:20
281
290
10.22044/jas.2019.7493.1370
Filter regular sequence
Regular sequence
System of parameters
J.
Azami
jafar.azami@gmail.com
true
1
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
SOME NEW CONSTRUCTIONS OF LINEAR CODES INCLUDING A WIDE FAMILY OF MDS CODES
Let $\mathbb{Z}_p$ be the finite field of integers modulo $p$, where $p>3$ is a prime integer. This paper presents new constructions of linear codes over $\mathbb{Z}_p$. Based on our construction, linear codes of length $p-1$, including a wide family of MDS codes, and codes of length $(p-1)^2$ are constructed. we shall discuss the parameters of the codes defined while describing a generator matrix for the first family.
http://jas.shahroodut.ac.ir/article_1598_8c556522c1aaf88d9e80bdbe10f287f4.pdf
2020-01-01T11:23:20
2020-06-07T11:23:20
291
300
10.22044/jas.2019.7004.1343
Finite Fields
Linear Codes
MDS codes
A.
Rafieepour
a.rafieepour@gmail.com
true
1
Department of Mathematical Sciences, University of Kashan, P.O. Box 87317-
53153, Kashan, Iran.
Department of Mathematical Sciences, University of Kashan, P.O. Box 87317-
53153, Kashan, Iran.
Department of Mathematical Sciences, University of Kashan, P.O. Box 87317-
53153, Kashan, Iran.
AUTHOR
M.
Mazrooei
m.mazrooei@kashanu.ac.ir
true
2
Department of Mathematical Sciences, University of Kashan, P.O. Box 87317-
53153, Kashan, Iran.
Department of Mathematical Sciences, University of Kashan, P.O. Box 87317-
53153, Kashan, Iran.
Department of Mathematical Sciences, University of Kashan, P.O. Box 87317-
53153, Kashan, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGY
We show some results about local homology modules and local cohomology modules concerning to being in a serre sub category of the category of R-modules. Also for an ideal I of R we define the concept of CI condition on a serre category, which seems dual to CI condition of Melkerson [1]. As a main result we show that for any minimax R-module M of any serre category S that satisifies CI (CI) condition the local homology module HiI(M) (local cohomology module HIi(M) 2 S) for all i ≥ 0.
http://jas.shahroodut.ac.ir/article_1597_067f1dfdd98a689c0c7d5492964b4236.pdf
2020-01-01T11:23:20
2020-06-07T11:23:20
301
314
10.22044/jas.2019.7430.1366
local homology
Local cohomology
Serre category
S. O.
Faramarzi
s.o.faramarzi@gmail.com
true
1
Department of Mathematics, Payam Noor University (PNU), Tehran, Iran.
Department of Mathematics, Payam Noor University (PNU), Tehran, Iran.
Department of Mathematics, Payam Noor University (PNU), Tehran, Iran.
LEAD_AUTHOR
Z.
Barghsouz
zbarghsooz@gmail.com
true
2
Department of Mathematics, Payam Noor University (PNU), Tehran, Iran.
Department of Mathematics, Payam Noor University (PNU), Tehran, Iran.
Department of Mathematics, Payam Noor University (PNU), Tehran, Iran.
AUTHOR
ORIGINAL_ARTICLE
ORDER DENSE ESSENTIALITY AND BEHAVIOR OF ORDER DENSE INJECTIVITY
In this paper, we study the categorical and algebraic properties, such as limits and colimits of the category Pos-S with respect to order dense embeddings. Injectivity with respect to this class of monomorphisms has been studied by the author and used to obtain information about injectivity relative to regular monomorphisms. Then, we study three different kinds of essentiality, usually used in literature, with respect to the class of all order dense embed-dings of S-posets, and investigate their relations to order dense injectivity. We will see, among other things, that although all of these essential extensions are not necessarily equivalent, they behave equivalently with respect to order dense injectivity. More precisely, it is proved that order dense injectivity well behaves regarding these essentialities. Finally, a characterization of these essentialities over pogroups is given.
http://jas.shahroodut.ac.ir/article_1599_d0959f964f88150ce83fb33f24492605.pdf
2020-01-01T11:23:20
2020-06-07T11:23:20
315
334
10.22044/jas.2019.7773.1384
S-poset
order dense sub S-poset
od-injective
od-essential
L.
Shahbaz
leilashahbaz@yahoo.com
true
1
Department of Mathematics, University of Maragheh, P.O. Box 55181-83111, Maragheh,
Iran.
Department of Mathematics, University of Maragheh, P.O. Box 55181-83111, Maragheh,
Iran.
Department of Mathematics, University of Maragheh, P.O. Box 55181-83111, Maragheh,
Iran.
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