Graded Pi-Rings and Generalized Grossed Product Azumava Algebra
Citation：
F. Van Oystaeyen.Graded Pi-Rings and Generalized Grossed Product Azumava Algebra[J].Chinese Annals of Mathematics B,1987,8(1):13~21
Page view： 1027Net amount： 729
Authors：
F. Van Oystaeyen;
Abstract：
A generalized crossed product of a ring R and a group G is a strongly graded ring A=\bigoplus_\sigma \in G A_\sigma and A_e =R, where e is the neutral element of G. This paper investigates the conditions on G and on the gradation of A, which will ensure that A is an Azumaya algebra whenever A_e is one. And the author extends Proposition 3.8 in [9] to arbitrary finite group and some results of [10] concerning certain PI-rings to the case of not necessarily finitely generated grading groups.
