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。
Similar to group graded rings and modules, partial semigroup graded rings and modules are defined.
本文讨论非交换分次环上的纲性分次自对偶与其初始子环上的自对偶之间的关系。
In this paper, we discuss the connection between the rigid graded selfduality over some noncommutative graded ring and the selfduality over its initial subring.
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。
It is proved that for a partial semigroup g, the category of G-unions and the category of G-graded rings are isomorphic.
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