2018-11-19T19:08:17Z
http://jas.shahroodut.ac.ir/?_action=export&rf=summon&issue=127
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2017
5
1
MOST RESULTS ON A-IDEALS IN MV -MODULES
S.
Saidi Goraghani
R. A.
Borzooei
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 $Ksubseteq bigcup _{i=1}^{n}K_{i}$ implies $Ksubseteq K_{j}$, where $K,K_{1},cdots ,K_{n}$ are A-ideals of A-module M and $1leq jleq n$.
MV-algebra
MV-module
Prime A-ideal
2017
09
01
1
13
http://jas.shahroodut.ac.ir/article_994_dd6f0758634fc1dfcc2fb67c9d67677e.pdf
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2017
5
1
AN INDUCTIVE FUZZY DIMENSION
M.
Abry
Jafar
Zanjani
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.
Fuzzy topology
Intuitionistic fuzzy boundary
Fuzzy inductive dimension
2017
09
01
15
25
http://jas.shahroodut.ac.ir/article_995_5557c9774af984cbc69e62c98e4c2f2a.pdf
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2017
5
1
TABLE OF MARKS OF FINITE GROUPS
M.
Ghorbani
F.
Abbasi
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.
Frobenius group
table of marks
conjugacy class of subgroup
2017
09
01
27
51
http://jas.shahroodut.ac.ir/article_996_a1fbc5e498c184e7f032d12626d80c2e.pdf
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2017
5
1
GENERALIZED GORENSTEIN DIMENSION OVER GROUP RINGS
Abdolnaser
Bahlekeh
T.
Kakaie
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.
Semi-dualizing bimodules
generalized Gorenstein dimension
group rings
2017
09
01
53
64
http://jas.shahroodut.ac.ir/article_997_21bc08b517c81172cdbfcee37f64093c.pdf
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2017
5
1
SOME REMARKS ON ALMOST UNISERIAL RINGS AND MODULES
H. R.
Dorbidi
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.
Almost uniserial rings
Almost uniserial modules
Socle of a module
2017
09
01
65
72
http://jas.shahroodut.ac.ir/article_998_50b733a4cdef7a3d8368c4489791fda6.pdf
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2017
5
1
ON THE MAXIMAL SPECTRUM OF A MODULE
H.
Ansari-Toroghy
S.
Keivani
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.
Prime submodule
maximal submodule
Max-injective module
Max-strongly top module
2017
09
01
73
84
http://jas.shahroodut.ac.ir/article_999_cfe480525b3eeb4d299ad10c3f1a4a16.pdf
Journal of Algebraic Systems
JAS
2345-5128
2345-5128
2017
5
1
A NOTE ON THE COMMUTING GRAPHS OF A CONJUGACY CLASS IN SYMMETRIC GROUPS
Seyed H.
Jafari
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.
symmetric group
automorphim group
commuting graph
2017
09
01
85
90
http://jas.shahroodut.ac.ir/article_882_47d09a8a2984aa2088d6a1c7f4a6b771.pdf