In this book, we introduce several graphical representations of a ring. In the past three
decades, graphs constructed from algebraic structures have been studied extensively by …

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 …

Let R be a commutative ring with identity and Z (R) be its set of zerodivisors. The study of
coloring of zero-divisor graphs of commutative rings dates back to [3]. For the information …

Let $ R $ be a commutative ring with nonzero identity and let $ M $ be a unitary $ R $-
module. The essential graph of $ M $, denoted by $ EG (M) $ is a simple undirected graph …

Conference Full Paper template Page 1 1 A remark on the connectivity of )( M Γ Rezvan
Varmazyar Department of Mathematics Khoy Branch, Islamic Azad University, Khoy 58168-44799 …

Misalkan R adalah gelanggang komutatif dengan identitas dan RM adalah R-modul dengan
elemen satuan. Akan dihubungkan sifat modul dengan graf yang disebut graf pembagi nol …

In this article, we generalize the concepts of several classes of domains (which are related to
a Dedekind domain) to a torsion-free module and it is shown that for a faithful multiplication …