群分次Frobenius余环  

On group graded Frobenius corings

作　　者：郭广泉[1] 

机构地区：[1]南京晓庄学院数学系,江苏南京210017

出　　处：《安徽大学学报（自然科学版）》2008年第5期5-7,共3页Journal of Anhui University(Natural Science Edition)

摘　　要：令G是一个群,A是一个环,C是群分次A-余环.定义了群分次Frobenius余环,这个概念是Frobenius余环概念的推广.给出群分次余环是群分次Frobenius余环的充分与必要条件,证明了群分次Frobenius余环是群分次环,并且A→Ce是Frobenius扩张.Let G was a group, A a ring, Ca group graded A - coring. The notion of group graded Frobenius corings was defined, which generalised the notion of Frobenius coring. We found the necessary and sufficient conditions for a group graded coring was a group graded Frobenius coring. We proved that a group graded Frobenius corings was a ring, and A→Ce was Frobenius extension.

关 键 词：Frobenius余环 群余环 群分次Frobenius余环 

分 类 号：O153.3[理学—数学]