• Title of article

    A CLASSIFICATION OF RING ELEMENTS IN SKEW PBW EXTENSIONS OVER COMPATIBLE RINGS

  • Author/Authors

    Hamidizadeh, Maryam Department of Mathematics - Shahrood University of Technology , Hashemi, Ebrahim Department of Mathematics - Shahrood University of Technology , Reyes, Armando Department of Mathematics - Universidad Nacional de Colombia Bogot´a, Colombia

  • Pages
    23
  • From page
    75
  • To page
    97
  • Abstract
    For a skew PBW extension over a right duo compatible ring, we characterize several kinds of their elements such as units, idempotent, von Neumann regular, π π-regular and the clean elements. As a consequence of our treatment, we extend several results in the literature for Ore extensions and commutative rings.
  • Keywords
    Right duo ring , skew PBW extension , idempotent element , unit element , von Neumann regular element , clean element
  • Journal title
    International Electronic Journal of Algebra
  • Serial Year
    2020
  • Record number

    2599083