2017
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MOST RESULTS ON AIDEALS IN MV MODULES
2
2
In the present paper, by considering the notion of MVmodules which is the structure that naturally correspond to lumodules over lurings, we prove some results on prime Aideals and state some conditions to obtain a prime Aideal in MVmodules. Also, we state some conditions that an Aideal is not prime and investigate conditions that $Ksubseteq bigcup _{i=1}^{n}K_{i}$ implies $Ksubseteq K_{j}$, where $K,K_{1},cdots ,K_{n}$ are Aideals of Amodule M and $1leq jleq n$.
1

1
13


S.
Saidi Goraghani
Department of Mathematics, University of Farhangian, Tehran, Iran.
Department of Mathematics, University of
Iran
kouroshsaidi31@gmail.com


R. A.
Borzooei
Department of Mathematics, University of Shahid Beheshti, Tehran, Iran.
Department of Mathematics, University of
Iran
borzooei@sbu.ac.ir
MValgebra
MVmodule
Prime Aideal
AN INDUCTIVE FUZZY DIMENSION
2
2
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.
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15
25


M.
Abry
School of Mathematics and Computer Science, University of Damghan, P.O. Box
3671641167, Damghan, Iran.
School of Mathematics and Computer Science,
Iran
mabry@du.ac.ir


Jafar
Zanjani
School of Mathematics and Computer science, University of Damghan, P.O.Box 3671641167, Damghan, Iran.
School of Mathematics and Computer science,
Iran
j_zanjani@std.du.ac.ir
Fuzzy topology
Intuitionistic fuzzy boundary
Fuzzy inductive dimension
TABLE OF MARKS OF FINITE GROUPS
2
2
Let G be a finite group and C(G) be the family of representative conjugacy classes of subgroups of G. The matrix whose H;Kentry 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.
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27
51


M.
Ghorbani
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, Tehran, 16785{136, I. R. Iran
Department of Mathematics, Faculty of Science,
Iran
mghorbani@srttu.edu


F.
Abbasi
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, Tehran, 16785{136, I. R. Iran
Department of Mathematics, Faculty of Science,
Iran
ghorbani30@gmail.com
Frobenius group
table of marks
conjugacy class of subgroup
GENERALIZED GORENSTEIN DIMENSION OVER GROUP RINGS
2
2
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 $Rga$ has a dualizing bimodule as well. Moreover, it is shown that a finitely generated $Rga$module $M$ has generalized Gorenstein dimension zero if and only if it has generalized Gorenstein dimension zero as an $R$module.
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53
64


Abdolnaser
Bahlekeh
Department of Mathematics, Gonbad Kavous University, P.O. Box 4971799151,
Gonbad Kavous, Iran.
Department of Mathematics, Gonbad Kavous
Iran
n.bahlekeh@gmail.com


T.
Kakaie
Department of Mathematics, University of Isfahan, P.O. Box: 8174673441, Isfa
han, Iran.
Department of Mathematics, University of
Iran
tkakaie@sci.ui.ac.ir
Semidualizing bimodules
generalized Gorenstein dimension
group rings
SOME REMARKS ON ALMOST UNISERIAL RINGS AND MODULES
2
2
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.
1

65
72


H. R.
Dorbidi
Department of Mathematics, Faculty of Science, University of Jiroft, P.O. Box
7867161167, Jiroft, Iran.
Department of Mathematics, Faculty of Science,
Iran
hr_dorbidi@ujiroft.ac.ir
Almost uniserial rings
Almost uniserial modules
Socle of a module
ON THE MAXIMAL SPECTRUM OF A MODULE
2
2
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.
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73
84


H.
AnsariToroghy
Department of Pure Mathematics, Faculty of Mathematical Science, University of
Guilan, P.O. Box 4133519141, Rasht, Iran.
Department of Pure Mathematics, Faculty of
Iran
ansari@guilan.ac.ir


S.
Keivani
Department of Mathematics, Bandar Anzali Branch, Islamic Azad University, Ban
dar Anzali, Iran.
Department of Mathematics, Bandar Anzali
Iran
siamak.keyvani@gmail.com
Prime submodule
maximal submodule
Maxinjective module
Maxstrongly top module
A NOTE ON THE COMMUTING GRAPHS OF A CONJUGACY CLASS IN SYMMETRIC GROUPS
2
2
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.
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85
90


Seyed H.
Jafari
Department of Mathematics, Shahrood University of Technology, P.O. Box
3619995161316, Shahrood, Iran.
Department of Mathematics, Shahrood University
Iran
shjafari55@gmail.com
symmetric group
automorphim group
commuting graph