Journal of Algebraic Systems

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Volume 11 (2023-2024)
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Keywords = Eulers's totient function

Number of Articles: 1
STRUCTURE OF ZERO-DIVISOR GRAPHS ASSOCIATED TO RING OF INTEGER MODULO n

Shariefuddin Pirzada; Aaqib Altaf; Saleem Khan

Volume 11, Issue 1 , September 2023, , Pages 1-14

https://doi.org/10.22044/jas.2022.11719.1599

Abstract
  For a commutative ring $R$ with identity $1\neq 0$, let $Z^{*}(R)=Z(R)\setminus \lbrace 0\rbrace$ be the set of non-zero zero-divisors of $R$, where $Z(R)$ is the set of all zero-divisors of $R$. The zero-divisor graph of $R$, denoted by $\Gamma(R)$, is a simple graph whose vertex set is $Z^{*}(R)=Z(R)\setminus ...  Read More