1. Home
    2. Journals
    3. Proceedings – Mathematical Sciences
    4. Volume 130
    5. All articles

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      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

       
      Published
      30 January 2020
      Manuscript received
      8 November 2018
      Manuscript revised
      29 March 2019
      Accepted
      26 July 2019
      Early published
      Unedited version published online
      Final version published online
      25 January 2020

  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.

Contact | Site index