Dergiler / International Electronic Journal of Algebra / 2017 / Cilt: 21 - Sayı: 21

EXTENSIONS OF Σ-ZIP RINGS

Ouyang LUNQUN, Zhou QİONG, Wu JİNFANG

Sayfa
1–22
DOI
—

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.