The principal ideal subgraph of the annihilating-ideal graph of commutative rings
R Taheri, A Tehranian - Algebraic Structures and Their Applications, 2016 - as.yazd.ac.ir
Let $ R $ be a commutative ring with identity and $\mathbb {A}(R) $ be the set of ideals of $
R $ with non-zero annihilators. In this paper, we first introduce and investigate the principal …
R $ with non-zero annihilators. In this paper, we first introduce and investigate the principal …
[PDF][PDF] ANNIHILATING SUBMODULE GRAPHS FOR MODULES OVER COMMUTATIVE RINGS
M Baziar - Journal of Algebraic Systems, 2015 - jas.shahroodut.ac.ir
In this article, we give several generalizations of the concept of annihilating ideal graph over
a commutative ring with identity to modules. Weobserve that over a commutative ring $ R …
a commutative ring with identity to modules. Weobserve that over a commutative ring $ R …
[PDF][PDF] The Submodule-Based Zero-Divisor Graph with Respect to Some Homomorphism
M Baziar, N Ranjbar - 2013 - sid.ir
Let M be an R-module and 0 ¹¦ Î M*= Hom (M, R). The graph G¦(M) is a graph with vertices
Z¦(M)={x Î M\{0}| x¦(y)= 0 or y¦(x)= 0 for some non-zero y Î M}, in which non-zero elements x …
Z¦(M)={x Î M\{0}| x¦(y)= 0 or y¦(x)= 0 for some non-zero y Î M}, in which non-zero elements x …