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.

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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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