On semi-artinian modules and injectivity conditions

Author:

Clark J.,Smith P. F.

Abstract

It is well known that a module M has finite length if and only if it is semi-artinian and Noetherian or, equivalently, semi-noetherian and artinian. Our main result shows that finite length is often achieved by just assuming that M is semi-artinian, semi-noetherian and has finitely generated socle.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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