A Submodule-Based Zero Divisor Graph for Modules

Küçük Resim Yok

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Tarbiat Modares Univ

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

Let R be a commutative ring with identity and M be an R-module. The zero divisor graph of M is denoted by Gamma(M). In this study, we are going to generalize the zero divisor graph Gamma(M) to submodule-based zero divisor graph Gamma(M, N) by replacing elements whose product is zero with elements whose product is in some submodule N of M. The main objective of this paper is to study the interplay of the properties of submodule N and the properties of Gamma(M, N).

Açıklama

Anahtar Kelimeler

Zero Divisor Graph, Submodule-Based Zero Divisor Graph, Semisimple Module

Kaynak

Iranian Journal of Mathematical Sciences and Informatics

WoS Q Değeri

N/A

Scopus Q Değeri

Q4

Cilt

14

Sayı

1

Künye