小模与余小模

Small Modules and Co-small Modules

主要研究小模和余小模的基本性质.设R为Noetherian环,对任意的小模A和指标集I,得到ExtnR(A,∏IKi)∏IExtnR(A,Ki).设R为交换的Artin环,对任意余小模B和指标集I,有TornR(B,∏ILi)∏ITorRn(B,Li).

Abstract： The main goal of the present article is to study basic properties of small modules and co --small modules. Let R be a Noetherian ring, for all small moduleA and index I , we get Ext Rn（A,∏IKi）≌∏IExt Rn（A,Ki） Let R be a commutative Artin ring, for all co-small module B and index I ,we have Tor nR（B,∏I Li）≌∏ITornR（B,Li）