Morita Duality of Semigroup Graded Rings  

作　　者：ZHANG Zi Long HOU Bo LI Yan Mei 

机构地区：[1]College of Mathematics and Information Science, Hebei Normal University, Hebei 050016, China [2]7227 Mail Box, Beijing 100072, China

出　　处：《Journal of Mathematical Research and Exposition》2008年第2期279-286,共8页数学研究与评论（英文版）

基　　金：Foundation item： the National Natural Science Foundation of China （No. 10571043; 10671053）; the Natural Science Foundation of Hebei Province （No. 102132） and the Fundation of the Education Department of Hebei Province （No. 2004108）.

摘　　要：This paper studies Morita duality of semigroup-graded rings, and discusses an equiva, lence between duality functors of graded module category and bigraded bimodules. An important result is obtained： A semigroup bigraded R-A-bimodule Q defines a semigroup graded Morita duality if and only if Q is gr-faithfully balanced and Ref（RQ）, Ref（QA） is closed under graded submodules and graded quotients.This paper studies Morita duality of semigroup-graded rings, and discusses an equiva, lence between duality functors of graded module category and bigraded bimodules. An important result is obtained： A semigroup bigraded R-A-bimodule Q defines a semigroup graded Morita duality if and only if Q is gr-faithfully balanced and Ref（RQ）, Ref（QA） is closed under graded submodules and graded quotients.

关 键 词：semigroup bigraded R-A-bimodule Q-reflected semigroup graded Morita duality 

分 类 号：O153.3[理学—数学]