分次FS-环(英)

Graded FS-Rings

英文关键词:graded ring  graded FS-ring  graded FS-module  group ring of （graded）ring

中文摘要:

      本文引进群分次环上分次模的分次FS－模的概念，利用分次极大分次左理想给出分次FS－环的几个刻画，得到了环R和群环RG，分次环R和分次环的群环R[G]间的几个等价条件．

英文摘要:

      In this paper, we introduce the notation of graded FS-module of the graded module over a group G-graded ring and obtain some characterization involving graded maximal graded left ideal for a graded FS-ring and some equivalent conditions between the ring R and group ring RG, the graded ring R and group ring of graded ring R[G].