The forcing metric dimension of a total graph of non-zero annihilating ideals

• Date: 2023
• Main Author: Pazoki, M.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7011
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 519.17 Let $R$ be a commutative ring with identity, which is not an integral domain.  An ideal $I$ of a ring $R$ is called an annihilating ideal if there exists $r\in R- \{0\}$ such that $Ir=(0)$.  The  total graph of non-zero annihilating idea...