MOST RESULTS ON A-IDEALS IN MV -MODULES
S.
Saidi Goraghani
Department of Mathematics, University of Farhangian, Tehran, Iran.
author
R. A.
Borzooei
Department of Mathematics, University of Shahid Beheshti, Tehran, Iran.
author
text
article
2017
eng
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 $1\leq j\leq n$.
Journal of Algebraic Systems
Shahrood University of Technology
2345-5128
5
v.
1
no.
2017
1
13
http://jas.shahroodut.ac.ir/article_994_dd6f0758634fc1dfcc2fb67c9d67677e.pdf
dx.doi.org/10.22044/jas.2017.994
AN INDUCTIVE FUZZY DIMENSION
M.
Abry
School of Mathematics and Computer Science, University of Damghan, P.O. Box
3671641167, Damghan, Iran.
author
Jafar
Zanjani
School of Mathematics and Computer science, University of Damghan, P.O.Box 3671641167, Damghan, Iran.
author
text
article
2017
eng
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.
Journal of Algebraic Systems
Shahrood University of Technology
2345-5128
5
v.
1
no.
2017
15
25
http://jas.shahroodut.ac.ir/article_995_5557c9774af984cbc69e62c98e4c2f2a.pdf
dx.doi.org/10.22044/jas.2017.995
TABLE OF MARKS OF FINITE GROUPS
M.
Ghorbani
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, Tehran, 16785{136, I. R. Iran
author
F.
Abbasi
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, Tehran, 16785{136, I. R. Iran
author
text
article
2017
eng
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.
Journal of Algebraic Systems
Shahrood University of Technology
2345-5128
5
v.
1
no.
2017
27
51
http://jas.shahroodut.ac.ir/article_996_a1fbc5e498c184e7f032d12626d80c2e.pdf
dx.doi.org/10.22044/jas.2017.996
GENERALIZED GORENSTEIN DIMENSION OVER GROUP RINGS
Abdolnaser
Bahlekeh
Department of Mathematics, Gonbad Kavous University, P.O. Box 4971799151,
Gonbad Kavous, Iran.
author
T.
Kakaie
Department of Mathematics, University of Isfahan, P.O. Box: 81746-73441, Isfa-
han, Iran.
author
text
article
2017
eng
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.
Journal of Algebraic Systems
Shahrood University of Technology
2345-5128
5
v.
1
no.
2017
53
64
http://jas.shahroodut.ac.ir/article_997_21bc08b517c81172cdbfcee37f64093c.pdf
dx.doi.org/10.22044/jas.2017.997
SOME REMARKS ON ALMOST UNISERIAL RINGS AND MODULES
H. R.
Dorbidi
Department of Mathematics, Faculty of Science, University of Jiroft, P.O. Box
78671-61167, Jiroft, Iran.
author
text
article
2017
eng
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.
Journal of Algebraic Systems
Shahrood University of Technology
2345-5128
5
v.
1
no.
2017
65
72
http://jas.shahroodut.ac.ir/article_998_50b733a4cdef7a3d8368c4489791fda6.pdf
dx.doi.org/10.22044/jas.2017.998
ON THE MAXIMAL SPECTRUM OF A MODULE
H.
Ansari-Toroghy
Department of Pure Mathematics, Faculty of Mathematical Science, University of
Guilan, P.O. Box 41335-19141, Rasht, Iran.
author
S.
Keivani
Department of Mathematics, Bandar Anzali Branch, Islamic Azad University, Ban-
dar Anzali, Iran.
author
text
article
2017
eng
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.
Journal of Algebraic Systems
Shahrood University of Technology
2345-5128
5
v.
1
no.
2017
73
84
http://jas.shahroodut.ac.ir/article_999_cfe480525b3eeb4d299ad10c3f1a4a16.pdf
dx.doi.org/10.22044/jas.2017.999
A NOTE ON THE COMMUTING GRAPHS OF A CONJUGACY CLASS IN SYMMETRIC GROUPS
Seyed H.
Jafari
Department of Mathematics, Shahrood University of Technology, P.O. Box
3619995161-316, Shahrood, Iran.
author
text
article
2017
eng
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.
Journal of Algebraic Systems
Shahrood University of Technology
2345-5128
5
v.
1
no.
2017
85
90
http://jas.shahroodut.ac.ir/article_882_47d09a8a2984aa2088d6a1c7f4a6b771.pdf
dx.doi.org/10.22044/jas.2017.882