Group Actions on Quasi-Baer Rings
Canadian mathematical bulletin, Tome 52 (2009) no. 4, pp. 564-582
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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.
Mots-clés :
16S35, 16W22, 16S90, 16W20, 16U70, (quasi-) Baer ring, fixed ring, skew group ring, C*-algebra, local multiplier algebra
Jin, Hai Lan; Doh, Jaekyung; Park, Jae Keol. Group Actions on Quasi-Baer Rings. Canadian mathematical bulletin, Tome 52 (2009) no. 4, pp. 564-582. doi: 10.4153/CMB-2009-057-6
@article{10_4153_CMB_2009_057_6,
author = {Jin, Hai Lan and Doh, Jaekyung and Park, Jae Keol},
title = {Group {Actions} on {Quasi-Baer} {Rings}},
journal = {Canadian mathematical bulletin},
pages = {564--582},
year = {2009},
volume = {52},
number = {4},
doi = {10.4153/CMB-2009-057-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-057-6/}
}
TY - JOUR AU - Jin, Hai Lan AU - Doh, Jaekyung AU - Park, Jae Keol TI - Group Actions on Quasi-Baer Rings JO - Canadian mathematical bulletin PY - 2009 SP - 564 EP - 582 VL - 52 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-057-6/ DO - 10.4153/CMB-2009-057-6 ID - 10_4153_CMB_2009_057_6 ER -
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