| An-Najah University Journal for Research - Natural Sciences (A) ISSN: 1727-2114 | |
| Volume 7 , 1992, Pages: 15-22 | |
| |
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। | |
Thursday, December 3, 2009
On Semilocal Rings And Finitely Generated Projective Modules Rings
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