{ "id": "1302.3476", "version": "v1", "published": "2013-02-14T17:12:54.000Z", "updated": "2013-02-14T17:12:54.000Z", "title": "On the regularity of crossed products", "authors": [ "V. Bovdi", "S. Mihovski" ], "comment": "8 pages", "categories": [ "math.RT", "math.RA" ], "abstract": "We study some generalizations of the notion of regular crossed products K*G. For the case when K is an algebraically closed field, we give necessary and sufficient conditions for the twisted group ring K*G to be an n-weakly regular ring, a $\\xi^* N$-ring or a ring without nilpotent elements.", "revisions": [ { "version": "v1", "updated": "2013-02-14T17:12:54.000Z" } ], "analyses": { "subjects": [ "16S35", "20C07", "16S34", "16E50" ], "keywords": [ "regularity", "regular crossed products", "sufficient conditions", "nilpotent elements", "algebraically closed field" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1302.3476B" } } }