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Group Actions on Quasi-Baer Rings

Published online by Cambridge University Press:  20 November 2018

Hai Lan Jin ,
Jaekyung Doh  and
Jae Keol Park
Hai Lan Jin
Affiliation:
Department of Mathematics, Yanbian University, Yanji 133002, People's Republic of China e-mail: hljin98@hanmail.net
Jaekyung Doh
Affiliation:
Department of Mathematics, Busan National University, Busan 609–735, South Korea e-mail: jkpark@pusan.ac.kr
Jae Keol Park
Affiliation:
Department of Mathematics, Busan National University, Busan 609–735, South Korea e-mail: jkpark@pusan.ac.kr
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Abstract

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A ring $R$ is called quasi-Baer if the right annihilator of every right ideal of $R$ is generated by an idempotent as a right ideal. We investigate the quasi-Baer property of skew group rings and fixed rings under a finite group action on a semiprime ring and their applications to ${{C}^{*}}$-algebras. Various examples to illustrate and delimit our results are provided.

Keywords

16S3516W2216S9016W2016U70(quasi-) Baer ringfixed ringskew group ringC*-algebralocal multiplier algebra
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 52 , Issue 4 , 01 December 2009 , pp. 564 - 582
Copyright
Copyright © Canadian Mathematical Society 2009

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