An ideal-based cozero-divisor graph of a commutative ring | Zendy

H. Ansari-Toroghy | Zendy; F. Farshadifar | Zendy; Farideh Mahboobi-Abkenar | Zendy

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An ideal-based cozero-divisor graph of a commutative ring

Author(s) -

H. Ansari-Toroghy,

F. Farshadifar,

Farideh Mahboobi-Abkenar

Publication year - 2021

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.43261

Subject(s) - commutative ring , zero divisor , mathematics , graph , ideal (ethics) , primary ideal , combinatorics , discrete mathematics , principal ideal , divisor (algebraic geometry) , principal ideal ring , commutative property , law , political science , prime (order theory)

Let $R$ be a commutative ring and let $I$ be an ideal of $R$. In this article, we introduce the cozero-divisor graph $\acute{\Gamma}_I(R)$ of $R$ and explore some of its basic properties. This graph can be regarded as a dual notion of an ideal-based zero-divisor graph.

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