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http://hdl.handle.net/1942/3051
Title: | Generalized twisted group rings of finite groups | Authors: | NAUWELAERTS, Erna Van Oystaeyen, F |
Issue Date: | 1999 | Publisher: | MARCEL DEKKER INC | Source: | COMMUNICATIONS IN ALGEBRA, 27(8). p. 3685-3701 | Abstract: | Let R be a discrete valuation ring and G a finite group. Let alpha : G x G --> R\{0} be a generalized 2-cocycle, i.e. not necessarily taking its values in the units of R, and consider the generalized twisted group ring R *(alpha) G. In this paper we derive a criterion for R *(alpha) G to be separable over its center. This leads us to study the center and the prime ideals of R *(alpha) G. Furthermore, we give some results on indecomposable modules over R *(alpha) G. | Notes: | Limburgs Univ Ctr, Dept Math, B-3590 Diepenbeek, Belgium. Univ Instelling Antwerp, Dept Math, B-2610 Wilrijk, Belgium.Nauwelaerts, E, Limburgs Univ Ctr, Dept Math, Univ Campus, B-3590 Diepenbeek, Belgium. | Document URI: | http://hdl.handle.net/1942/3051 | ISI #: | 000081486500009 | Type: | Journal Contribution | Validations: | ecoom 2000 |
Appears in Collections: | Research publications |
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