G-集分次模与Morita Context  

G-sets Graded Modules and Morita Context

作　　者：孙建华[1] 

机构地区：[1]扬州大学师范学院数学系,扬州225002

出　　处：《数学学报（中文版）》1996年第1期84-95,共12页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目.

摘　　要：对任意群Ｇ， Ｈ≤Ｇ，［１］研究了Ｇ－分次环Ｒ与有限可迁Ｇ－集的ｓｍａｓｈ积.在本文中我们对任意可迁Ｇ－集，讨论了一个关于Ｒ（Ｈ）与ｓｍａｓｈ积Ｒ＃Ｇ／Ｈ的Ｍｏｒｉｔａ ｃｏｎｔｅｘｔ，从而推广了［２］，［３］，［４］给出的关于Ｇ－分次环及其与群Ｇ的ｓｍａｓｈ积的一些重要结果．Let R be a ring graded by any group G, H ≤ G. In [1], C. Nastasescu et al. discussed the smash product R#G/H with respect to finite G-set G/H. Our purpose in this paper is to consider a G/H-graded module and form a Morita context about R#G/H and R(H), with respect to any G-set G/H. We then apply them to discuss respectively the primitive, simplicity, prime and semiprime relating to R#G/H and R(H). In particular,we generalize some important results about group-graded rings in [2], [3] and [4].

关 键 词：群分次环 G-集 SMASH积 G-分次环 分次模 

分 类 号：O153.3[理学—数学]