# On Semilocal Rings And Finitely Generated Projective Modules

### Article info

15 - 22

### Keywords

### 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.### These articles may interest you also

# On Semilocal Rings And Finitely Generated Projective Modules

### معلومات المقال

15 - 22

### الكلمات الإفتتاحية

### الملخص

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.### These articles may interest you also

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