Loading [MathJax]/jax/output/CommonHTML/jax.js
Journals
Resources
About Us
Open Access
Go to previous page

Principal Quasi-Baerness of Rings of Skew Generalized Power Series

Principal Quasi-Baerness of Rings of Skew Generalized Power Series

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 0s for all sS. 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.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

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.

Author Details

Wanru Zhang Email