G-分次环与G-集的Smash积和Morita Context  

Smash products of G-gruded ring with G-Set and Morita C1ntexts

作　　者：朱彬[1] 王尧[1] 

机构地区：[1]北京师范大学数学系,100875

出　　处：《数学研究》1997年第2期188-192,共5页Journal of Mathematical Study

摘　　要：设R是G-分次环，A是G-集，（H，B)是（G，A)的忠实子对象，本文讨论了分农模范畴（A，R)-gr与分次模范畴（B，RH）-gr等价的条件；给出了R＃A是单环，B＃G／H是素环的刻划．所得结果均推广了已有结论．Let R be a G-graded ring A:a G-set, (H B) is a faithful subobject of (G.A). In this paper the conditions of equlvalence between the catehories of graded mosules(A,R)-gr and (B.RH)-gr, the condition of R#A being a simple rings,and the conditions of R#G/H being a prime ring are given,Allresults above extend the known results.

关 键 词：分次环 分次模 SMASH积 单环 模范畴 素环 等价 结论 推广 条件 

分 类 号：O153.3[理学—数学]