Crossed products over prime rings |
| |
Authors: | Susan Montgomery D S Passman |
| |
Institution: | (1) University of Southern California, 90007 Los Angeles, Calif., USA;(2) University of Wisconsin — Madison, 53706 Madison, Wis., USA |
| |
Abstract: | In this paper we obtain necessary and sufficient conditions for the crossed productR *G to be prime or semiprime under the assumption thatR is prime. The main techniques used are the Δ-methods which reduce these questions to the finite normal subgroups ofG and a study of theX-inner automorphisms ofR which enables us to handle these finite groups. In particular we show thatR *G is semiprime ifR has characteristic 0. Furthermore, ifR has characteristicp>0, thenR *G is semiprime if and only ifR *P is semiprime for all elementary abelianp-subgroupsP of Δ+(G) ∩G
inn. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|