Finitely Coatomic Modules

Year 2007, Volume: 36 Issue: 1, 37 - 41, 01.01.2007

G. Bilhan C. Hatipoğlu

Abstract

In this paper, we introduce finitely coatomic modules. We prove that any direct sum of finitely coatomic modules is finitely coatomic. Also we prove, if M is a module with finitely generated Jacobson radical, then M is f-semilocal if and only if M is finitely weakly supplemented and f-coatomic.

Keywords

Coatomic modules, Supplemented modules, 2000 AMS Classification: Primary: 16 D 10

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