摘要

Let R be an associated ring not necessarily with identity, M a left R-module having the property (F), and (S, <=) a strictly totally ordered monoid which is also artinian and finitely generated. It is shown that the module [M(S,<=)] consisting of generalized inverse polynomials over M is an artinian left [[R(S,<=)]]-module if and only if M is an artinian left R-module.

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