扩张直内射模的子模与自同态

Submodules and Endomorphisms of Extending Direct Injective Module

讨论了扩张直内射模的子模与自同态，指出只有满足某些条件的单同态才能由模Ｍ的自同态导出。同时讨论了扩张直内射模的自同态环的Ｊａｃｏｂｓｏｎ根的一些性质。

In this paper we make discussion on submodules of extending direct injective module and its endomorphisms. We show that only when certain conditions of monomorphism are fulfilled , it can be induced by endomorphism of module M. We also investigate Jacobson radical of endomorphism ring of extending direct injective modules.