Frobenius reciprocity and G0 of skew group rings

1988 ◽  
pp. 165-172 ◽  
Author(s):  
Martin Lorenz
Keyword(s):  
Group Rings ◽  
Frobenius Reciprocity ◽  
Skew Group Rings

Outer Partial Actions and Partial Skew Group Rings

2015 ◽  
Vol 67 (5) ◽  
pp. 1144-1160 ◽  
Author(s):  
Patrik Nystedt ◽  
Johan Öinert
Keyword(s):  
Abelian Group ◽  
Dynamical Systems ◽  
Group Ring ◽  
Group Rings ◽  
Partial Action ◽  
Unital Ring ◽  
Different Types ◽  
Outer Action ◽  
Skew Group Rings ◽  
Skew Group Ring

AbstractWe extend the classical notion of an outer action α of a group G on a unital ring A to the case when α is a partial action on ideals, all of which have local units. We show that if α is an outer partial action of an abelian group G, then its associated partial skew group ring A *α G is simple if and only if A is G-simple. This result is applied to partial skew group rings associated with two different types of partial dynamical systems.

scholarly journals Skew group rings and free rings

1990 ◽  
Vol 131 (2) ◽  
pp. 502-512 ◽  
Author(s):  
D.S Passman
Keyword(s):  
Group Rings ◽  
Skew Group Rings

scholarly journals Leavitt Path Algebras as Partial Skew Group Rings

2014 ◽  
Vol 42 (8) ◽  
pp. 3578-3592 ◽  
Author(s):  
Daniel Gonçalves ◽  
Danilo Royer
Keyword(s):  
Group Rings ◽  
Path Algebras ◽  
Skew Group Rings ◽  
Leavitt Path Algebras

Group Actions on Quasi-Baer Rings

2009 ◽  
Vol 52 (4) ◽  
pp. 564-582 ◽  
Author(s):  
Hai Lan Jin ◽  
Jaekyung Doh ◽  
Jae Keol Park
Keyword(s):  
Finite Group ◽  
Group Action ◽  
Semiprime Ring ◽  
Group Actions ◽  
Group Rings ◽  
Finite Group Action ◽  
Baer Rings ◽  
Skew Group Rings ◽  
A Finite Group ◽  
The Right

AbstractA 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.

scholarly journals Semiprime skew group rings

1978 ◽  
Vol 52 (1) ◽  
pp. 241-247 ◽  
Author(s):  
Joe W Fisher ◽  
Susan Montgomery
Keyword(s):  
Group Rings ◽  
Skew Group Rings

Partial Skew Group Rings Over Polycyclic by Finite Groups

2009 ◽  
Vol 14 (3) ◽  
pp. 449-462 ◽  
Author(s):  
Paula A. A. B. Carvalho ◽  
Wagner Cortes ◽  
Miguel Ferrero
Keyword(s):  
Finite Groups ◽  
Group Rings ◽  
Skew Group Rings
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