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      https://www.ias.ac.in/article/fulltext/pmsc/130/0017

    • Keywords

       

      Blow up; projective bundle; nef cone; chow ring

    • Abstract

       

      Let $R$ be a ring. The prime intersection graph of ideals of $R$, denoted by $G_{P}(R)$, is the graph whose vertex set is the collection of all non-trivial (left) ideals of $R$ with two distinct vertices $I$ and $J$ are adjacent if and only if $I \cap J \neq 0$ and either one of $I$ or $J$ is a prime ideal of $R$. We discuss connectedness in $G_{P}(R)$. The concepts of bipartition, planarity and colorability are interpreted. Finally, we introduce the idea of traversability in $G_{P}(\mathbb{Z}_{n})$. The core part of this paper is observed in the ring $\mathbb{Z}_{n}$.

    • Author Affiliations

       

      KUKIL KALPA RAJKHOWA1 HELEN K SAIKIA2

      1. Department of Mathematics, Cotton University, Guwahati 781 001, India
      2. Department of Mathematics, Gauhati University, Guwahati 781 014, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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