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ID 33108
FullText URL
Author
Hashemi, Ebrahim
Abstract

Let δ be a derivation on R. A ring R is called δ-quasi-Baer (resp. quasi-Baer) if the right annihilator of every δ-ideal (resp. ideal) of R is generated by an idempotent of R. In this note first we give a positive answer to the question posed in Han et al. [7], then we show that R is δ-quasi-Baer iff the differential polynomial ring S = R[x; δ] is quasi-Baer iff S is δ‾-quasi-Baer for every extended derivation δ‾ on S of δ. This results is a generalization of Han et al. [7], to the case where R is not assumed to be δ-semiprime.

Published Date
2007-01
Publication Title
Mathematical Journal of Okayama University
Volume
volume49
Issue
issue1
Publisher
Department of Mathematics, Faculty of Science, Okayama University
Start Page
197
End Page
200
ISSN
0030-1566
NCID
AA00723502
Content Type
Journal Article
language
English
File Version
publisher
Refereed
True
Submission Path
mjou/vol49/iss1/14
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