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.
Primary Language | English |
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Subjects | Statistics |
Journal Section | Mathematics |
Authors | |
Publication Date | January 1, 2007 |
Published in Issue | Year 2007 Volume: 36 Issue: 1 |