The Some Properties of Skew Polynomial Rings
, PP. 507-511 10.4236/apm.2016.67037
Keywords: Skew Polynomial Ring, (Quasi)-Baer Ring, Armendariz Ring, Morita Context Ring, Morita Invariance, Nozero Divisor Ring
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.
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