ORIGINAL_ARTICLE
THE CONCEPT OF (I; J)-COHEN MACAULAY MODULES
We introduce a generalization of the notion of depth of an ideal on a module by applying the concept of local cohomology modules with respect to a pair of ideals. We also introduce the concept of $(I,J)$-Cohen--Macaulay modules as a generalization of concept of Cohen--Macaulay modules. These kind of modules are different from Cohen--Macaulay modules, as an example shows. Also an artinian result for such modules is given.
http://jas.shahroodut.ac.ir/article_482_3406cd1fa845d38b77f2556344be6005.pdf
2015-06-01T11:23:20
2020-06-07T11:23:20
1
10
10.22044/jas.2015.482
local cohomology modules defined by a pair of ideals
system of ideals
depth of a pair of ideals
$(I
J)$-Cohen--Macaulay modules
M.
Aghapournahr
m.aghapour@gmail.com
true
1
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-
8349, Iran.
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-
8349, Iran.
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-
8349, Iran.
LEAD_AUTHOR
Kh.
Ahmadi-amoli
khahmadi@pnu.ac.ir
true
2
Department of Mathematics, Payame Noor University, Tehran, 19395-3697, Iran.
Department of Mathematics, Payame Noor University, Tehran, 19395-3697, Iran.
Department of Mathematics, Payame Noor University, Tehran, 19395-3697, Iran.
AUTHOR
M.
Sadeghi
m.sadeghi@phd.pnu.ac.ir
true
3
Department of Mathematics, Payame Noor University, Tehran, 19395-3697, Iran.
Department of Mathematics, Payame Noor University, Tehran, 19395-3697, Iran.
Department of Mathematics, Payame Noor University, Tehran, 19395-3697, Iran.
AUTHOR
ORIGINAL_ARTICLE
AN INTEGRAL DEPENDENCE IN MODULES OVER COMMUTATIVE RINGS
In this paper, we give a generalization of the integral dependence from rings to modules. We study the stability of the integral closure with respect to various module theoretic constructions. Moreover, we introduce the notion of integral extension of a module and prove the Lying over, Going up and Going down theorems for modules.
http://jas.shahroodut.ac.ir/article_483_975f783e6699718e23896ed95ef10f18.pdf
2015-06-01T11:23:20
2020-06-07T11:23:20
11
22
10.22044/jas.2015.483
Prime submodule
Integral element
Integrally closed
S.
Karimzadeh
karimzadeh_s@yahoo.com
true
1
Department of Mathematics, Vali-e-Asr University of Rafsanjan , P.O.Box 7718897111,
Rafsanjan, Iran.
Department of Mathematics, Vali-e-Asr University of Rafsanjan , P.O.Box 7718897111,
Rafsanjan, Iran.
Department of Mathematics, Vali-e-Asr University of Rafsanjan , P.O.Box 7718897111,
Rafsanjan, Iran.
LEAD_AUTHOR
R.
Nekooei
rnekooei@uk.ac.ir
true
2
Department of Mathematics, Shahid Bahonar University of Kerman, P.O.Box 76169133,
Kerman, Iran.
Department of Mathematics, Shahid Bahonar University of Kerman, P.O.Box 76169133,
Kerman, Iran.
Department of Mathematics, Shahid Bahonar University of Kerman, P.O.Box 76169133,
Kerman, Iran.
AUTHOR
ORIGINAL_ARTICLE
GENERALIZED PRINCIPAL IDEAL THEOREM FOR MODULES
The Generalized Principal Ideal Theorem is one of the cornerstones of dimension theory for Noetherian rings. For an R-module M, we identify certain submodules of M that play a role analogous to that of prime ideals in the ring R. Using this definition, we extend the Generalized Principal Ideal Theorem to modules.
http://jas.shahroodut.ac.ir/article_484_b8aa3a43cefa546233e3447390d3917d.pdf
2015-06-01T11:23:20
2020-06-07T11:23:20
23
30
10.22044/jas.2015.484
Generalized Principal Ideal Theorem
Prime submodule
Completely prime submodule
A.R.
Naghipour
naghipourar@yahoo.com
true
1
Department of Mathematical Sciences, Shahrekord University, P.O.Box 115, Shahrekord,
Iran.
Department of Mathematical Sciences, Shahrekord University, P.O.Box 115, Shahrekord,
Iran.
Department of Mathematical Sciences, Shahrekord University, P.O.Box 115, Shahrekord,
Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
GENERALIZED JOINT HIGHER-RANK NUMERICAL RANGE
The rank-k numerical range has a close connection to the construction of quantum error correction code for a noisy quantum channel. For noisy quantum channel, a quantum error correcting code of dimension k exists if and only if the associated joint rank-k numerical range is non-empty. In this paper the notion of joint rank-k numerical range is generalized and some statements of [2011, Generalized numerical ranges and quantum error correction, J. Operator Theory, 66: 2, 335-351.] are extended.
http://jas.shahroodut.ac.ir/article_486_30a2c8fdb2eec77f2ced44e835d901de.pdf
2015-06-01T11:23:20
2020-06-07T11:23:20
31
38
10.22044/jas.2015.486
generalized projector
joint higher rank numerical range
joint matrix numerical range
joint matrix higher rank numerical range
generalized joint higher rank
numerical range
H. R.
Afshin
hamidrezaafshin@yahoo.com
true
1
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
AUTHOR
S.
Bagheri
bagherisedighe@yahoo.com
true
2
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
AUTHOR
M. A.
Mehrjoofard
aahaay@gmail.com
true
3
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
ANNIHILATING SUBMODULE GRAPHS FOR MODULES OVER COMMUTATIVE RINGS
In this article, we give several generalizations of the concept of annihilating ideal graph over a commutative ring with identity to modules. Weobserve that over a commutative ring $R$, $Bbb{AG}_*(_RM)$ isconnected and diam$Bbb{AG}_*(_RM)leq 3$. Moreover, if $Bbb{AG}_*(_RM)$ contains a cycle, then $mbox{gr}Bbb{AG}_*(_RM)leq 4$. Also for an $R$-module $M$ with$Bbb{A}_*(M)neq S(M)setminus {0}$, $Bbb{A}_*(M)=emptyset$if and only if $M$ is a uniform module and ann$(M)$ is a primeideal of $R$.
http://jas.shahroodut.ac.ir/article_487_8c19ee23c3f1660ea1bf09bce9b1e051.pdf
2015-06-01T11:23:20
2020-06-07T11:23:20
39
47
10.22044/jas.2015.487
zero-divisor graph
Annihilating submodule graph
Weakly annihilating submodule
M.
Baziar
mbaziar@yu.ac.ir
true
1
Department of Mathematics, University of Yasouj, P.O.Box 75914, Yasouj, Iran.
Department of Mathematics, University of Yasouj, P.O.Box 75914, Yasouj, Iran.
Department of Mathematics, University of Yasouj, P.O.Box 75914, Yasouj, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
HvMV-ALGEBRAS II
In this paper, we continue our study on HvMV-algebras. The quotient structure of an HvMV-algebra by a suitable types of congruences is studied and some properties and related results are given. Some homomorphism theorems are given, as well. Also, the fundamental HvMV-algebra and the direct product of a family of HvMV-algebras are investigated and some related results are obtained.
http://jas.shahroodut.ac.ir/article_488_e0ce643e38d53b19a931c7ee7e0298a6.pdf
2015-06-01T11:23:20
2020-06-07T11:23:20
49
64
10.22044/jas.2015.488
MV-algebra
HvMV-algebra
HvMV-ideal
fundamental MV-algebra
M.
Bakhshi
bakhshi@ub.ac.ir
true
1
Department of Mathematics, University of Bojnord, P.O.Box 1339, Bojnord, Iran.
Department of Mathematics, University of Bojnord, P.O.Box 1339, Bojnord, Iran.
Department of Mathematics, University of Bojnord, P.O.Box 1339, Bojnord, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
FUZZY NEXUS OVER AN ORDINAL
In this paper, we define fuzzy subnexuses over a nexus $N$. Define and study the notions of the prime fuzzy subnexuses and the fractionsinduced by them. Finally, we show that if S is a meetclosed subset of the set Fsub(N), of fuzzy subnexuses of a nexus N, andh= ⋀S ϵ S, then the fractions S^-1 N and h^-1 N are isomorphic as meet-semilattices.
http://jas.shahroodut.ac.ir/article_489_a9a4ba1f624488e61c5e37175e928284.pdf
2015-06-01T11:23:20
2020-06-07T11:23:20
65
82
10.22044/jas.2015.489
Nexus
ordinal
Prime fuzzy subnexus
Fraction
of a nexus
A. A.
Estaji
aaestaji@hsu.ac.ir
true
1
Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar,
Iran.
Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar,
Iran.
Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar,
Iran.
AUTHOR
T.
Haghdadi
t.haghdady@gmail.com
true
2
Faculty of Basic Sciences, Birjand University of technology Birjand, Iran.
Faculty of Basic Sciences, Birjand University of technology Birjand, Iran.
Faculty of Basic Sciences, Birjand University of technology Birjand, Iran.
LEAD_AUTHOR
J.
Farokhi Ostad
javadfarrokhi90@gmail.com
true
3
Faculty of Basic Sciences, Birjand University of technology Birjand, Iran.
Faculty of Basic Sciences, Birjand University of technology Birjand, Iran.
Faculty of Basic Sciences, Birjand University of technology Birjand, Iran.
AUTHOR
ORIGINAL_ARTICLE
COMPUTING THE PRODUCTS OF CONJUGACY CLASSES FOR SPECIFIC FINITE GROUPS
Suppose $G$ is a finite group, $A$ and $B$ are conjugacy classes of $G$ and $eta(AB)$ denotes the number of conjugacy classes contained in $AB$. The set of all $eta(AB)$ such that $A, B$ run over conjugacy classes of $G$ is denoted by $eta(G)$.The aim of this paper is to compute $eta(G)$, $G in { D_{2n}, T_{4n}, U_{6n}, V_{8n}, SD_{8n}}$ or $G$ is a decomposable group of order $2pq$, a group of order $4p$ or $p^3$, where $p$ and $q$ are primes.
http://jas.shahroodut.ac.ir/article_490_ad72cc6d7ccfdda1a417ad5e72b51945.pdf
2015-06-01T11:23:20
2020-06-07T11:23:20
88
95
10.22044/jas.2015.490
Conjugacy class
normal subset
$p-$group
M.
Jalali
jalali6834@gmail.com
true
1
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of
Kashan, P.O.Box 87317-51167, Kashan, I. R. Iran
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of
Kashan, P.O.Box 87317-51167, Kashan, I. R. Iran
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of
Kashan, P.O.Box 87317-51167, Kashan, I. R. Iran
AUTHOR
A. R.
Ashrafi
ashrafi@kashanu.ac.ir
true
2
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of
Kashan, P.O.Box 87317-51167, Kashan, I. R. Iran
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of
Kashan, P.O.Box 87317-51167, Kashan, I. R. Iran
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of
Kashan, P.O.Box 87317-51167, Kashan, I. R. Iran
LEAD_AUTHOR