Year: 2010
Author: Zhongkui Liu, Husheng Qiao
Communications in Mathematical Research , Vol. 26 (2010), Iss. 3 : pp. 193–202
Abstract
Let $R$ be an abelian ring. We consider a special subring $A_n$, relative to $α_2, · · · , α_n ∈ R{\rm End}(R)$, of the matrix ring $M_n(R)$ over a ring $R$. It is shown that the ring $A_n$ is a generalized right PP-ring (right zip ring) if and only if the ring $R$ is a generalized right PP-ring (right zip ring). Our results yield more examples of generalized right PP-rings and right zip rings.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2010-CMR-19149
Communications in Mathematical Research , Vol. 26 (2010), Iss. 3 : pp. 193–202
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: generalized right PP-ring PP-ring right zip ring.