本文定义了模的一种新的环变换，讨论了它的一些基本性质，并且给出了由诱导函子引起的环变换下的一个模的同构定理。

This paper defines a new transformation of modules, discusses some of its basic characteristics, and proposes a modular isomorphic theorem of the ring transformation caused by induced functors.

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同时对盟定义了盟模，并证明了对部分半群g，所有G -盟作成的范畴与所有G -分次环作成的范畴是同构的。

It is proved that for a partial semigroup g, the category of G-unions and the category of G-graded rings are isomorphic.

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拟离散模的子模的任何两个余闭包是超视的，因而是同构的；

Any two co closures of a submodule of quasi discrete module M are superspective, and hence isomorphic;

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拟离散模的子模的任何两个余闭包是超视的，因而是同构的；

Any two co closures of a submodule of quasi discrete module M are superspective, and hence isomorphic;

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