G/H-分次R-模范畴与R^(H)-模范畴的等价性

An Equivalence between the Categoriesof G/H,R-graded Module and R^((H))-Modole

在文献[1-3]的基础上,利用强G-分次环的性质,讨论了G/H-分次模范畴(G/H,R)-gr与模范畴R^((H))-Mod之间的等价问题.

Based on the theory of G-graded rings discussed in the Papers [1-3], suppose R be a strong G-graded ring, for arbitrary group, provided the property of strong G-graded ring, we discuss the equivalence between G/H, R-graded module category and R^（H） module category.