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