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Title: | Generalized twisted group rings | Authors: | NAUWELAERTS, Erna Van Oystaeyen, F |
Issue Date: | 2005 | Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | Source: | JOURNAL OF ALGEBRA, 294(2). p. 307-320 | Abstract: | Let R be a dornain and G a group. Let alpha: G x G -> R \ {0} be a generalized 2-cocycle, i.e., not necessarily taking its values ill the units of R, and consider the generalized twisted group ring R *(alpha) G. First we investigate the graded structure of R *(alpha) G, in particular we give conditions under which R *(alpha) G is gr-hereditary, respectively a gr-maximal order. Next, we derive criteria for R *(alpha) G to be a tame order, respectively a maximal order over some central subring. We also derive conditions under which R *(alpha) G is an Azumaya algebra. (c) 2005 Elsevier Inc. All rights reserved. | Notes: | Univ Antwerp UA, B-2020 Antwerp, Belgium. Limburgs Univ Ctr, B-3590 Diepenbeek, Belgium.Van Oystaeyen, F, Univ Antwerp UA, B-2020 Antwerp, Belgium.francine.schoeters@ua.ac.be | Document URI: | http://hdl.handle.net/1942/2019 | ISSN: | 0021-8693 | e-ISSN: | 1090-266X | DOI: | 10.1016/j.jalgebra.2004.11.017 | ISI #: | 000233681300001 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2006 |
Appears in Collections: | Research publications |
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