• Title of article

    ELEMENTARY RADICAL CLASSES

  • Author/Authors

    Gardner, B. J. Discipline of Mathematics - University of Tasmania, Australia

  • Pages
    17
  • From page
    25
  • To page
    41
  • Abstract
    A radical class R of rings is elementary if it contains precisely those rings whose singly generated subrings are in R. Many examples of elementary radical classes are presented, and all those which are either contained in the Jacobson radical class or disjoint from it are described. Attention is given to those elementary radical classes which are definable by composition subsemigroups of the free ring on one generator. Whether every elementary radical class is of this form remains an open question.
  • Keywords
    Radical class , locally equational , Mal'tsev-Neumann product
  • Journal title
    International Electronic Journal of Algebra
  • Serial Year
    2018
  • Full Text URL
    dergipark.org.tr/en/download/article-file/398825
  • Record number

    2600076

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2600076