Co-Hopfian Modules of Generalized Inverse Polynomials

摘要

Let R be an associative ring not necessarily possessing an identity and (S,≤) a strictly totally ordered monoid which is also artinian and satisfies that o≤s for any s ∈ S. Assume that M is a left R-module havin property (F). Iot is shown that M is a co-Hopfian left R-module if an only if [M~s,≤] is a co-Hopfian left [[R~s,≤]]-module.