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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/129/05/0076

    • Keywords

       

      Non-comaximal graph; maximal ideal; independence set

    • Abstract

       

      Let R be a ring. The non-comaximal graph of R, denoted by $NC(R)$ is an undirected graph whose vertex set is the collection of all non-trivial (left) ideals of $R$ and any two distinct vertices $I$ and $J$ are adjacent if and only if $I + J \neq R$. The concepts of connectedness, independent set, clique and traversability of $NC(R)$ are discussed.

    • Author Affiliations

       

      BIKASH BARMAN1 KUKIL KALPA RAJKHOWA1

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

       
  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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