On Semilocal Rings And Finitely Generated Projective Modules

On Semilocal Rings And Finitely Generated Projective Modules

Ali Abdel-Mohsin

Mathematics Department, Faculty of Science, An-Najah National University-Nablus

Received : 00-00-0000 , Accepted : 00-00-0000

Language: English

Abstract

We establish the equivalence between the existence of a cyclic projective right C-module P such that P/J (BP) is semisimple and BP is finitely generated (B = End (Pc)) and the existence of an idempotent element e in c such that trace (Pc) is finitely generated (and equals CeC) and C/S is semisimple where S is the intersection of all maximal left ideals of C not containing the trace ideal of Pc.

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