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 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | 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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ISSN: | 1674-5647 |