局部模与余局部模

Local Modules and Colocal Modules

证明了局部模有变换性，从而得出了两个重要结论：局部模有消去性，局部模有局部自同态环，为拟离散模消去性的研究提供了有利的帮助，并对局部模是否有局部自同态环这个问题作出了完全肯定的回答．同时，给出了余局部模的概念，得出了与局部模（部分）对偶的一些结果．

In this paper we prove that a local module has the exchange property, then we obtain two conclusions: first, a local module has the concellation property; second, local modules have local endomorphism rings. In the meantime, we give the notion of colocal modules which are dual to local modules, and give some results dual to that of local modules.