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On the regularity of crossed products

2013/02/14 by V. Bovdi, Bovdi, V., S. Mihovski +1
Mathematics · #16E50 #16S34 #16S35 #20C07 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:16E50 #msc:16S34 #msc:16S35 #msc:20C07

paper · pdf · doi:10.48550/arxiv.1302.3476

8 pages

arxiv created 2013/02/14 · arxiv updated 2013/02/15

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 ξ^* N-ring or a ring without nilpotent elements.

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