Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493197 | Journal of Algebra | 2005 | 14 Pages |
Abstract
Let R be a domain and G a group. Let α:GÃGâRâ{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*αG. First we investigate the graded structure of R*αG, in particular we give conditions under which R*αG is gr-hereditary, respectively a gr-maximal order. Next, we derive criteria for R*αG to be a tame order, respectively a maximal order over some central subring. We also derive conditions under which R*αG is an Azumaya algebra.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
E. Nauwelaerts, F. Van Oystaeyen,