Principal Quasi-Baerness of Rings of Skew Generalized Power Series

Principal Quasi-Baerness of Rings of Skew Generalized Power Series

Let R be a ring and （S, 〈） be a strictly totally ordered monoid satisfying that 0 〈 s for all s C S. It is shown that if A 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 S,（R）...

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Veröffentlicht in:数学研究通讯 2013, Vol.29 (4), p.335-344
1. Verfasser: ZHANG WAN- RU
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Sprache:eng
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全序
同态
子集
幺半群
广义幂级数环
环和
贝尔
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description Let R be a ring and （S, 〈） be a strictly totally ordered monoid satisfying that 0 〈 s for all s C S. It is shown that if A 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 S,（R） has a generalized join in S,（R）. Several known results follow as consequences of our results.
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subjects 全序
同态
子集
幺半群
广义幂级数环
环和
贝尔
title Principal Quasi-Baerness of Rings of Skew Generalized Power Series
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