Year: 2016
Author: Weiliang Wang, Yao Wang, Yanli Ren
Communications in Mathematical Research , Vol. 32 (2016), Iss. 3 : pp. 259–271
Abstract
Let $α$ be a nonzero endomorphism of a ring $R$, $n$ be a positive integer and $T_n(R, α)$ be the skew triangular matrix ring. We show that some properties related to nilpotent elements of $R$ are inherited by $T_n(R, α)$. Meanwhile, we determine the strongly prime radical, generalized prime radical and Behrens radical of the ring $R[x; α]/(x^n)$, where $R[x; α]$ is the skew polynomial ring.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2016.03.08
Communications in Mathematical Research , Vol. 32 (2016), Iss. 3 : pp. 259–271
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: skew triangular matrix ring skew polynomial ring weak zip property strongly prime radical generalized prime radical.