ORIGINAL_ARTICLE
MOST RESULTS ON A-IDEALS IN MV -MODULES
In the present paper, by considering the notion of MV-modules which is the structure that naturally correspond to lu-modules over lu-rings, we prove some results on prime A-ideals and state some conditions to obtain a prime A-ideal in MV-modules. Also, we state some conditions that an A-ideal is not prime and investigate conditions that $K\subseteq \bigcup _{i=1}^{n}K_{i}$ implies $K\subseteq K_{j}$, where $K,K_{1},\cdots ,K_{n}$ are A-ideals of A-module M and $1\leq j\leq n$.
http://jas.shahroodut.ac.ir/article_994_dd6f0758634fc1dfcc2fb67c9d67677e.pdf
2017-09-01T11:23:20
2020-06-04T11:23:20
1
13
10.22044/jas.2017.994
MV-algebra
MV-module
Prime A-ideal
S.
Saidi Goraghani
kouroshsaidi31@gmail.com
true
1
Department of Mathematics, University of Farhangian, Tehran, Iran.
Department of Mathematics, University of Farhangian, Tehran, Iran.
Department of Mathematics, University of Farhangian, Tehran, Iran.
LEAD_AUTHOR
R. A.
Borzooei
borzooei@sbu.ac.ir
true
2
Department of Mathematics, University of Shahid Beheshti, Tehran, Iran.
Department of Mathematics, University of Shahid Beheshti, Tehran, Iran.
Department of Mathematics, University of Shahid Beheshti, Tehran, Iran.
AUTHOR
ORIGINAL_ARTICLE
AN INDUCTIVE FUZZY DIMENSION
Using a system of axioms among with a modified definition of boundary on the basis of the intuitionistic fuzzy sets, we formulate an inductive structure for the dimension of fuzzy spaces which has been defined by Coker. This new definition of boundary allows to characterize an intuitionistic fuzzy clopen set as a set with zero boundary. Also, some critical properties and applications are established.
http://jas.shahroodut.ac.ir/article_995_5557c9774af984cbc69e62c98e4c2f2a.pdf
2017-09-01T11:23:20
2020-06-04T11:23:20
15
25
10.22044/jas.2017.995
Fuzzy topology
Intuitionistic fuzzy boundary
Fuzzy inductive dimension
M.
Abry
mabry@du.ac.ir
true
1
School of Mathematics and Computer Science, University of Damghan, P.O. Box
3671641167, Damghan, Iran.
School of Mathematics and Computer Science, University of Damghan, P.O. Box
3671641167, Damghan, Iran.
School of Mathematics and Computer Science, University of Damghan, P.O. Box
3671641167, Damghan, Iran.
LEAD_AUTHOR
Jafar
Zanjani
j_zanjani@std.du.ac.ir
true
2
School of Mathematics and Computer science, University of Damghan, P.O.Box 3671641167, Damghan, Iran.
School of Mathematics and Computer science, University of Damghan, P.O.Box 3671641167, Damghan, Iran.
School of Mathematics and Computer science, University of Damghan, P.O.Box 3671641167, Damghan, Iran.
AUTHOR
ORIGINAL_ARTICLE
TABLE OF MARKS OF FINITE GROUPS
Let G be a finite group and C(G) be the family of representative conjugacy classes of subgroups of G. The matrix whose H;K-entry is the number of fixed points of the set G=K under the action of H is called the table of marks of G where H;K run through all elements in C(G). In this paper, we compute the table of marks and the markaracter table of groups of order pqr where p, q, r are prime numbers.
http://jas.shahroodut.ac.ir/article_996_a1fbc5e498c184e7f032d12626d80c2e.pdf
2017-09-01T11:23:20
2020-06-04T11:23:20
27
51
10.22044/jas.2017.996
Frobenius group
table of marks
conjugacy class of subgroup
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
F.
Abbasi
ghorbani30@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
ORIGINAL_ARTICLE
GENERALIZED GORENSTEIN DIMENSION OVER GROUP RINGS
Let $(R, \m)$ be a commutative noetherian local ring and let $\Gamma$ be a finite group. It is proved that if $R$ admits a dualizing module, then the group ring $R\ga$ has a dualizing bimodule as well. Moreover, it is shown that a finitely generated $R\ga$-module $M$ has generalized Gorenstein dimension zero if and only if it has generalized Gorenstein dimension zero as an $R$-module.
http://jas.shahroodut.ac.ir/article_997_21bc08b517c81172cdbfcee37f64093c.pdf
2017-09-01T11:23:20
2020-06-04T11:23:20
53
64
10.22044/jas.2017.997
Semi-dualizing bimodules
generalized Gorenstein dimension
group rings
Abdolnaser
Bahlekeh
n.bahlekeh@gmail.com
true
1
Department of Mathematics, Gonbad Kavous University, P.O. Box 4971799151,
Gonbad Kavous, Iran.
Department of Mathematics, Gonbad Kavous University, P.O. Box 4971799151,
Gonbad Kavous, Iran.
Department of Mathematics, Gonbad Kavous University, P.O. Box 4971799151,
Gonbad Kavous, Iran.
LEAD_AUTHOR
T.
Kakaie
tkakaie@sci.ui.ac.ir
true
2
Department of Mathematics, University of Isfahan, P.O. Box: 81746-73441, Isfa-
han, Iran.
Department of Mathematics, University of Isfahan, P.O. Box: 81746-73441, Isfa-
han, Iran.
Department of Mathematics, University of Isfahan, P.O. Box: 81746-73441, Isfa-
han, Iran.
AUTHOR
ORIGINAL_ARTICLE
SOME REMARKS ON ALMOST UNISERIAL RINGS AND MODULES
In this paper we study almost uniserial rings and modules. An Râˆ’module M is called almost uniserial if any two nonisomorphic submodules are linearly ordered by inclusion. A ring R is an almost left uniserial ring if R_R is almost uniserial. We give some necessary and sufficient condition for an Artinian ring to be almost left uniserial.
http://jas.shahroodut.ac.ir/article_998_50b733a4cdef7a3d8368c4489791fda6.pdf
2017-09-01T11:23:20
2020-06-04T11:23:20
65
72
10.22044/jas.2017.998
Almost uniserial rings
Almost uniserial modules
Socle of a module
H. R.
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.
LEAD_AUTHOR
ORIGINAL_ARTICLE
ON THE MAXIMAL SPECTRUM OF A MODULE
Let $R$ be a commutative ring with identity. The purpose of this paper is to introduce and study two classes of modules over $R$, called $\mbox{Max}$-injective and $\mbox{Max}$-strongly top modules and explore some of their basic properties. Our concern is to extend some properties of $X$-injective and strongly top modules to these classes of modules and obtain some related results.
http://jas.shahroodut.ac.ir/article_999_cfe480525b3eeb4d299ad10c3f1a4a16.pdf
2017-09-01T11:23:20
2020-06-04T11:23:20
73
84
10.22044/jas.2017.999
Prime submodule
maximal submodule
Max-injective module
Max-strongly top module
H.
Ansari-Toroghy
ansari@guilan.ac.ir
true
1
Department of Pure Mathematics, Faculty of Mathematical Science, University of
Guilan, P.O. Box 41335-19141, Rasht, Iran.
Department of Pure Mathematics, Faculty of Mathematical Science, University of
Guilan, P.O. Box 41335-19141, Rasht, Iran.
Department of Pure Mathematics, Faculty of Mathematical Science, University of
Guilan, P.O. Box 41335-19141, Rasht, Iran.
LEAD_AUTHOR
S.
Keivani
siamak.keyvani@gmail.com
true
2
Department of Mathematics, Bandar Anzali Branch, Islamic Azad University, Ban-
dar Anzali, Iran.
Department of Mathematics, Bandar Anzali Branch, Islamic Azad University, Ban-
dar Anzali, Iran.
Department of Mathematics, Bandar Anzali Branch, Islamic Azad University, Ban-
dar Anzali, Iran.
AUTHOR
ORIGINAL_ARTICLE
A NOTE ON THE COMMUTING GRAPHS OF A CONJUGACY CLASS IN SYMMETRIC GROUPS
The commuting graph of a group is a graph with vertexes set of a subset of a group and two element are adjacent if they commute. The aim of this paper is to obtain the automorphism group of the commuting graph of a conjugacy class in the symmetric groups. The clique number, coloring number, independent number, and diameter of these graphs are also computed.
http://jas.shahroodut.ac.ir/article_882_47d09a8a2984aa2088d6a1c7f4a6b771.pdf
2017-09-01T11:23:20
2020-06-04T11:23:20
85
90
10.22044/jas.2017.882
symmetric group
automorphim group
commuting graph
Seyed H.
Jafari
shjafari55@gmail.com
true
1
Department of Mathematics, Shahrood University of Technology, P.O. Box
3619995161-316, Shahrood, Iran.
Department of Mathematics, Shahrood University of Technology, P.O. Box
3619995161-316, Shahrood, Iran.
Department of Mathematics, Shahrood University of Technology, P.O. Box
3619995161-316, Shahrood, Iran.
LEAD_AUTHOR