Year: 2013
Author: Wanru Zhang
Communications in Mathematical Research , Vol. 29 (2013), Iss. 4 : pp. 335–344
Abstract
Let R be a ring and (S,≤) be a strictly totally ordered monoid satisfying that 0≤s for all s∈S. It is shown that if λ is a weakly rigid homomorphism, then the skew generalized power series ring [[RS,≤,λ]] is right p.q.-Baer if and only if R is right p.q.-Baer and any S-indexed subset of Sr(R) has a generalized join in Sr(R). Several known results follow as consequences of our results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2013-CMR-18995
Communications in Mathematical Research , Vol. 29 (2013), Iss. 4 : pp. 335–344
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: rings of skew generalized power series right p.q.-Baer ring weakly rigid endomorphism.