• Title of article

    WEAKLY PRIME an‎d WEAKLY COMPLETELY PRIME IDEALS OF NONCOMMUTATIVE RINGS

  • Author/Authors

    Groenewald, Nico Department of Mathematics and Applied Mathematics - Nelson Mandela University - Port Elizabeth, South Africa

  • Pages
    18
  • From page
    43
  • To page
    60
  • Abstract
    Anderson-Smith studied weakly prime ideals for a commutative ring with identity. Hirano, Poon and Tsutsui studied the structure of a ring in which every ideal is weakly prime for rings, not necessarily commutative. In this note we give some more properties of weakly prime ideals in noncommutative rings. We introduce the notion of a weakly prime radical of an ideal. We initiate the study of weakly completely prime ideals and investigate rings for which every proper ideal is weakly completely prime
  • Keywords
    Weakly prime ideal , weakly prime radical , weakly completely prime ideal
  • Journal title
    International Electronic Journal of Algebra
  • Serial Year
    2020
  • Full Text URL
    dergipark.org.tr/en/download/article-file/1198543
  • Record number

    2599070

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2599070