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A
note on quasi-Frobenius rings
Edgar Earle Enochs |
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Vol. 24 (1968), No. 1, 69–70
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Abstract |
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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 A≅EndB(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
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Milestones
Received: 28 February 1967
Published: 1 January 1968
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Authors |
| Edgar Earle Enochs | |
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