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 An, 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.