Let R *θ G be the skew group ring with a F.C group G and the group homomrphism 8 from G to Aut(R), the group of automorphisms of the ring R. In this paper,the necessary and sufficient condition such that R *θ G ...Let R *θ G be the skew group ring with a F.C group G and the group homomrphism 8 from G to Aut(R), the group of automorphisms of the ring R. In this paper,the necessary and sufficient condition such that R *θ G will be Noetherian is given, which generalizes the results of LG. connel.展开更多
基金Supported by the NSF of Educational Department of Henan Province(20025100003)
文摘Let R *θ G be the skew group ring with a F.C group G and the group homomrphism 8 from G to Aut(R), the group of automorphisms of the ring R. In this paper,the necessary and sufficient condition such that R *θ G will be Noetherian is given, which generalizes the results of LG. connel.