Bibliographic Details
| Title: |
Skew inverse Laurent series extensions of weakly principally quasi Baer rings. |
| Authors: |
Mehralinejadian, S., Moussavi, A., Sahebi, Sh. |
| Superior Title: |
Journal of Algebra & Its Applications; Oct2021, Vol. 20 Issue 10, p1-18, 18p |
| Subject Terms: |
LAURENT series, IDEMPOTENTS, AUTOMORPHISMS, POWER series |
| Abstract: |
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 the relationship between the weakly p.q.-Baer property of a ring R and those of the skew inverse series rings R ((x − 1 ; σ , δ)) and R [ [ x − 1 ; σ , δ ] ] , for any automorphism σ and σ -derivation δ of R. Examples to illustrate and delimit the theory are provided. [ABSTRACT FROM AUTHOR] |
|
Copyright of Journal of Algebra & Its Applications is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Database: |
Complementary Index |
