EXTENSIONS OF Σ-ZIP RINGS

Year 2017, Volume: 21 Issue: 21, 1 - 22, 17.01.2017

Ouyang Lunqun Zhou Qiong Wu Jinfang

https://doi.org/10.24330/ieja.295657

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

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