EXTENSIONS OF Σ-ZIP RINGS

Authors : Ouyang LUNQUN, Zhou QİONG, Wu JİNFANG

Pages : 1-22

Doi:10.24330/ieja.295657

View : 15 | Download : 11

Publication Date : 2017-01-17

Article Type : Research Paper

Abstract :t. In this note we consider a new concept, so called Σ-zip ring, which unifies zip rings and weak zip rings. We observe the basic properties of Σ-zip rings, constructing typical examples. We study the relationship between the Σ-zip property of a ring R and that of its Ore extensions and skew generalized power series extensions. As a consequence, we obtain a generalization of several known results relating to zip rings and weak zip rings. 
Keywords : Σ zip ring, Ore extension