• Title of article

    Weak Annihilator over Extension Rings

  • Author/Authors

    OUYANG, LUNQUN Hunan University of Science and Technology - Department of Mathematics, China , BIRKENMEIER, GARY F. University of Louisiana at Lafayette - Department of Mathematics, USA

  • From page
    345
  • To page
    357
  • Abstract
    Let R be a ring and nil(R) the set of all nilpotent elements of R. For a subset X of a ring R, we define NR(X) = {a ϵ R j xa ϵ nil(R) for all x ϵ X} ; which is called the weak annihilator of X in R. In this paper we mainly investigate the properties of the weak annihilator over extension rings.
  • Keywords
    Weak annihilator , nilpotent associated prime , nilpotent good polynomial
  • Journal title
    Bulletin of the Malaysian Mathematical Sciences Society
  • Journal title
    Bulletin of the Malaysian Mathematical Sciences Society
  • Record number

    2550038