广义逆多项式模的弱Co-Hopf性质

Weak Co-Hop ficity of generalized inverse polynomials modules

设R是环,但未必含有单位元,(S, )是Artin的严格全序幺半群.如果左R 模M具有性质(F),则左R 模M是弱Co Hopf模当且仅当左[[RS, ]] 模[MS, ]是弱Co Hopf模.

Let R be an associative ring not necessarily possessing an identity,and (S,) is a strictly totally ordered monoid which is also Artinian.It is proved that if a left R-module M has the property(F),then M is weakly Co-Hopfian if and only if the left [[R-(S,_]]- module[M-(S,≤_]is weakly Co-Hopfian .