摘要
类似于群分次环和群分次模的定义，定义了部分半群分次环和部分半群分次模．同时对盟定义了盟模，并证明了对部分半群G，所有G－盟作成的范畴与所有G－分次环作成的范畴是同构的．在这个同构之下，设G－盟C对应于G－分次环Rc，证明了所有C－模作成的范畴与G－分次环Rc上的所有分次模作成的范畴是同构的．
Similar to group graded rings and modules,partial semigroup graded rings and modules are defined. Union modules are also defined. It is proved that for a partial semigroup G,the category of G-unions and the category of G-graded rings are isomorphic. If G-union C is correspondent to G-graded ring Rc,then C-mod and Rc-gr are isomorphic.
出处
《广西师范大学学报（自然科学版）》
CAS
1999年第2期43-46,共4页
Journal of Guangxi Normal University:Natural Science Edition
基金
广西教育厅资助
