Let R be a commutative ring with unity 1≠ 0 and let M be a unitary R− module. In this paper,
we derive some completeness conditions on the zero divisor graphs of modules over …

In this article, we give several generalizations of the concept of zero-divisor elements in a
commutative ring with identity to modules. Then, for each 𝑅-module 𝑀, we associate three …

The zero-divisor graph of a ring R is defined as the directed graph Γ (R) that its vertices are
all non-zero zero-divisors of R in which for any two distinct vertices x and y, x→ y is an edge …

The cozero-divisor graph relative to nitely generated modules Page 1 Miskolc Mathematical
Notes HU e-ISSN 1787-2413 Vol. 14 (2013), No 3, pp. 749-756 DOI: 10.18514/MMN.2013.762 …

Full article: Zero-Divisor Graphs of Matrices Over Commutative Rings Skip to Main Content
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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 M be an R-module. The zero divisor graph of
M is denoted by Γ (M). In this study, we are going to generalize the zero divisor graph Γ (M) …

Let R be a commutative ring and M a Noetherian R-module. The zero-divisor graph of M,
denoted by Γ (M), is an undirected simple graph whose vertices are the elements of ZR …

Let R be a commutative ring with identity and M an R-module. In this paper, we associate a
graph to M, say Γ (M), such that when M= R, Γ (M) is exactly the classic zero-divisor graph …

Let R be a commutative ring and Γ (R) be the zero divisor graph of R. In this paper, we
investigate when the zero divisor graph is a line graph. We completely present all …