R^((H))-模范畴与R#G/H-模范畴的等价性  

An equivalence between the categories of R^((H))-Module and R#G/H-Module

作　　者：张月极[1] 

机构地区：[1]宿迁经贸高等职业技术学校,江苏沭阳223600

出　　处：《南昌教育学院学报》2013年第1期81-,85,共2页Journal of Nanchang College of Education

摘　　要：文献[1-3]讨论了G-分次环的理论。基于此基础,若R是强G-分次环,对任意群G,通过构造函子,利用强G-分次环的性质,证明了模范R(H)-Mod畴以及模范畴R#G/H-Mod者之间的等价性,并由此得出一些性质。Paper[1-3] discussed the theory of G-graded rings. Based on these, in this paper, suppose R be a strong G-graded ring, for arbitrary group, provided the property of strong G-graded ring, by constructing functor, Proved the equivalence between Module Category conclusions about their quality.

关 键 词：G-分次环 G-分次模 等价 

分 类 号：O13[理学—数学]