交换Gr-凝聚环上的Gr-有限表现维数

Finitely Presented Dimensions of Commutative Gr-coherent Rings

本文首先引进分次模的Gr 有限表现维数:gr.f.p.dim,并由此定义了交换G 分次环的Gr 有限表现维数gr.f.p.dim.对交换Gr 凝聚环上的Gr 有限表现维数作了研究,把若干经典的结果推广到分次环和分次模上.

In this paper,we showed a new homological dimension of graded module-gr.f.p.dimRA,and definite gr.f.p.dimR . We study mainly gr.f.p.dim of Commutative Gr-coherent Rings and some classical results are generalized.