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- Title
Weakly p.q.-Baer skew Hurwitz series rings.
- Authors
Khoshnood, B.; Moussavi, A.
- Abstract
A ring R is projective invariant Baer (π -Baer for short) if the right annihilator of every projection invariant left ideal of R is generated by an idempotent element of R. A ring R is called weakly principally quasi-Baer or simply (weakly p.q.-Baer) if the right annihilator of a principal right ideal is left s -unital by left semicentral idempotents, which implies that R modulo, the right annihilator of any principal right ideal, is flat. We study relations between the π -Baer and weakly p.q.-Baer properties of a ring R , and its skew Hurwitz series ring R H [ [ x ; σ ] ] , where R is a ring equipped with an endomorphism σ. Examples are provided to explain the results.
- Subjects
IDEMPOTENTS; LAURENT series; ENDOMORPHISM rings; ARTIN rings
- Publication
Asian-European Journal of Mathematics, 2024, Vol 17, Issue 1, p1
- ISSN
1793-5571
- Publication type
Article
- DOI
10.1142/S1793557123502352