Generalized Baer rings

Kwak, Tai Keun

doi:https://doi.org/10.1155/IJMMS/2006/45837

International Journal of Mathematics and Mathematical Sciences

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Volume 2006 | Article ID 045837 | https://doi.org/10.1155/IJMMS/2006/45837

Generalized Baer rings

Tai Keun Kwak¹

Received08 May 2006

Revised06 Jul 2006

Accepted18 Jul 2006

Published10 Oct 2006

Abstract

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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Copyright

Copyright © 2006 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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