The Some Properties of Skew Polynomial Rings
Loading...
Date
2016-06
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Scientific Research Publishing
Abstract
This paper mainly studies some properties of skew polynomial ring related to Morita invariance, Armendariz and (quasi)-Baer. First, we show that skew polynomial ring has no Morita invariance by the counterexample. Then we prove a necessary condition that skew polynomial ring constitutes Armendariz ring. We lastly investigate that condition of skew polynomial ring is a (quasi)-Baer ring, and verify that the conditions is necessary, but not sufficient by example and counterexample.
Description
Keywords
Skew Polynomial Ring, (Quasi)-Baer Ring, Armendariz Ring, Morita Context Ring, Morita Invariance, Nozero Divisor Ring