Generalized Baer rings

We investigate the question whether the p.q.-Baer center of a ring R can be extended to R. We give several counterexamples to this question and consider some conditions under which the answer may be affirmative. The concept of a generalized p.q.-Baer property which is a generalization of Baer proper...

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Main Author: Tai Keun Kwak
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/45837
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author Tai Keun Kwak
author_facet Tai Keun Kwak
author_sort Tai Keun Kwak
collection DOAJ
description We investigate the question whether the p.q.-Baer center of a ring R can be extended to R. We give several counterexamples to this question and consider some conditions under which the answer may be affirmative. The concept of a generalized p.q.-Baer property which is a generalization of Baer property of a ring is also introduced.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2006-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-225cec3dec234f5193e4fb02692ca6202025-02-03T01:03:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/4583745837Generalized Baer ringsTai Keun Kwak0Department of Mathematics, Daejin University, Pocheon 487-711, KoreaWe investigate the question whether the p.q.-Baer center of a ring R can be extended to R. We give several counterexamples to this question and consider some conditions under which the answer may be affirmative. The concept of a generalized p.q.-Baer property which is a generalization of Baer property of a ring is also introduced.http://dx.doi.org/10.1155/IJMMS/2006/45837
spellingShingle Tai Keun Kwak
Generalized Baer rings
International Journal of Mathematics and Mathematical Sciences
title Generalized Baer rings
title_full Generalized Baer rings
title_fullStr Generalized Baer rings
title_full_unstemmed Generalized Baer rings
title_short Generalized Baer rings
title_sort generalized baer rings
url http://dx.doi.org/10.1155/IJMMS/2006/45837
work_keys_str_mv AT taikeunkwak generalizedbaerrings