强分次环与Maschke-型定理

Strongly Graded Rings and Maschke-Type Theorems

中文关键词:  强分环次  分次模  Smash积

英文关键词:graded module  strongly graded ring  Smash product.

中文摘要:

      设G是有限群,|G|^-1∈R.本文证明了与强G-分次环R,R#k[G]^*,非分次R-模和R_e-模有关的两个Maschke-型定理.

英文摘要:

      Let R be a strongly group-graded ring,G a finite group with |G|^-1∈R.In thisnote we prove two Maschke-type theorems with respect to R,R-modules,R_e-modules and R#k[G]^*-modules.