三类模范畴的K_0群

K_0 Groups on Three Categories of Special Modules

对于可换环 Ｒ，本文通过引进 Ｋ０Ｒ；分别给出了三类模范畴的 Ｋ０群（Ｋ０Ｒ，Ｋ０Ｒ，Ｋ０Ｒ）的有关性质及特征，同时本文还讨论了它们三者之间的关系．

For a commutative ring R, some properties and important characterizations of the K0 groups on three categories of specoal modules are given in this paper, by constructing KoR. Moreover, their relations are discussed and the calculation on K0 and K0 are obtained for some rings.