Vol. 24, No. 1, 1968

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ISSN: 0030-8730
A note on quasi-Frobenius rings

Edgar Earle Enochs

Vol. 24 (1968), No. 1, 69–70
Abstract

Morita and Curtis proved independently that if A is a quasi-Frobenius ring and Pa finitely generated, projective, faithful, left A-module, then the ring of endomorphisms B = EndA(P) is quasi-Frobenius and P is a finitely generated, projective, faithful, left B-module. It also turns out that AEndB(P). We prove a theorem implying that every quasi-Frobenius ring can be represented as such a ring of endomorphisms.

Mathematical Subject Classification
Primary: 16.40
Milestones
Received: 28 February 1967
Published: 1 January 1968
Authors
Edgar Earle Enochs