Extended total graph associated to finite commutative rings

• Date: 2024
• Main Authors: Altaf, Aaqib, Pirzada, S., Alghamdi, Ahmad M., Almotairi, Eman S.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2024
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7494
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.5 For a commutative ring $R$  with nonzero identity $1\neq 0$, let $Z(R)$ denote the set of zero divisors. The total graph of $R$ denoted by $T_{\Gamma}(R)$ is a simple graph in which all elements of $R$ are vertices and any two distinct vertices $x$ an...