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
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
