Open AccessAn ideal-based cozero-divisor graph of a commutative ring
Author(s) -
H. Ansari-Toroghy,
F. Farshadifar,
Farideh Mahboobi-Abkenar
Publication year - 2022
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.