TITLE:
The Some Properties of Skew Polynomial Rings
AUTHORS:
Qianqian Chu, Hailan Jin
KEYWORDS:
Skew Polynomial Ring, (Quasi)-Baer Ring, Armendariz Ring, Morita Context Ring, Morita Invariance, Nozero Divisor Ring
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.6 No.7,
June
20,
2016
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.