分次模 graded module
partitioning module
- 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. - 对于G—分次环R,我们证明如下结论:(1)若R是分次正则环,则R上的任一分次左R—模都是分次可除模;
For a G —graded ring R . We show the following results: (1) If R is graded regular ring, then any graded left R —module are all graded divisible; - 再者,引进了分次半平坦模的概念,并有如下主要结果:环K是分次弱正则的当且仅当所有右K-模是分次半平坦的。
Next, the concept of graded semiflat module is introduced and proved that K is a group-graded weakly regular ring if and only if all right K-module is graded semiflat module.