• Title of article

    A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING

  • Author/Authors

    Dorbidi ، H. R. - University of Jiroft , Alikhani ، S. - Yazd University

  • Pages
    12
  • From page
    143
  • To page
    154
  • Abstract
    In this paper we introduce and study a graph on the set of ideals of a commutative ring R. The vertices of this graph are non-trivial ideals of R and two distinct ideals I and J are adjacent if and only IJ = I ∩ J. We obtain some properties of this graph and study its relation to the structure of R.
  • Keywords
    Graph , diameter , ring , idempotent
  • Journal title
    Journal of Algebraic Systems
  • Serial Year
    2020
  • Journal title
    Journal of Algebraic Systems
  • Record number

    2472900

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2472900