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 bigr...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.展开更多
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）.
文摘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.
