Volume no :3, Issue no: 1, March (2010)

CHARACTERIZATIONS OF A HIRATA SEPARABLE GROUP RING

Author's: George Szeto and Lianyong Xue
Pages: [27] - [33]
Received Date: March 31, 2010
Submitted by:

Abstract

Let R be a ring with 1, G be a group, RG be an Azumaya group ring of G over R, K be a subgroup of G, and D be the double centralizer of RK in RG. Characterizations of a Hirata separable extension RG over D, and D is a direct summand as a D-bimodule are given.

Keywords

group rings, separable extensions, Azumaya algebras, Hirata separable extensions.