##### 1. FINITE GROUPS WITH FIVE NON-CENTRAL CONJUGACY CLASSES

M. Rezaei; Z. Foruzanfar

Volume 4, Issue 2 , Winter and Spring 2017, Pages 85-95

##### Abstract
‎Let G be a finite group and Z(G) be the center of G‎. ‎For a subset A of G‎, ‎we define kG(A)‎, ‎the number of conjugacy classes of G that intersect A non-trivially‎. ‎In this paper‎, ‎we verify the structure of all finite groups G which satisfy the property ...  Read More

##### 2. FUZZY OBSTINATE IDEALS IN MV-ALGEBRAS

F. Forouzesh

Volume 4, Issue 2 , Winter and Spring 2017, Pages 97-101

##### Abstract
In this paper, we introduce the notion of fuzzy obstinate ideals in MV -algebras. Some properties of fuzzy obstinateideals are given. Not only we give some characterizations of fuzzy obstinate ideals, but also bring the extension theorem of fuzzy obstinate ideal of an MV -algebra A. We investigate ...  Read More

##### 3. RADICAL OF FILTERS IN RESIDUATED LATTICES

S. Motamed

Volume 4, Issue 2 , Winter and Spring 2017, Pages 111-121

##### Abstract
‎In this paper‎, ‎the notion of the radical of a filter in‎ ‎residuated lattices is defined and several characterizations of‎ ‎the radical of a filter are given‎. ‎We show that if F is a‎ ‎positive implicative filter (or obstinate filter)‎, ‎then‎ ...  Read More

##### 4. REES SHORT EXACT SEQUENCES OF S-POSETS

R. Khosravi

Volume 4, Issue 2 , Winter and Spring 2017, Pages 123-134

##### Abstract
In this paper the notion of Rees short exact sequence for S-posets is introduced, and we investigate the conditions for which these sequences are left or right split. Unlike the case for S-acts, being right split does not imply left split. Furthermore, we present equivalent conditions of a right S-poset ...  Read More

##### 5. MORE ON EDGE HYPER WIENER INDEX OF GRAPHS

A. Alhevaz; M. Baghipur

Volume 4, Issue 2 , Winter and Spring 2017, Pages 135-153

##### Abstract
‎Let G=(V(G),E(G)) be a simple connected graph with vertex set V(G) and edge‎ ‎set E(G)‎. ‎The (first) edge-hyper Wiener index of the graph G is defined as‎: ‎$$WW_{e}(G)=\sum_{\{f,g\}\subseteq E(G)}(d_{e}(f,g|G)+d_{e}^{2}(f,g|G))=\frac{1}{2}\sum_{f\in E(G)}(d_{e}(f|G)+d^{2}_{e}(f|G)),$$‎ ...  Read More

##### 6. THE ZERO-DIVISOR GRAPH OF A MODULE

A. Naghipour

Volume 4, Issue 2 , Winter and Spring 2017, Pages 155-171

##### Abstract
Let R be a commutative ring with identity and M an R-module. In this paper, we associate a graph to M, sayΓ(RM), such that when M=R, Γ(RM) coincide with the zero-divisor graph of R. Many well-known results by D.F. Anderson and P.S. Livingston have been generalized for ...  Read More