Balanced and QF-1 Algebras

V. P. Camillo; K. R. Fuller

doi:10.1090/S0002-9939-1972-0306256-0

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Journal article

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Balanced and QF-1 Algebras

V. P. Camillo and K. R. Fuller

Proceedings of the American Mathematical Society, Vol.34(2), pp.373-378

08/01/1972

DOI: 10.1090/S0002-9939-1972-0306256-0

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Abstract

A ring $R$ is QF-1 if every faithful module has the double centralizer property. It is proved that a local finite dimensional algebra is QF-1 if and only if it is QF. From this it follows that an arbitrary finite dimensional algebra has the property that every homomorphic image is QF-1 if and only if every homomorphic image is QF.

Algebra

Mathematics

Mathematical rings

Mathematical theorems

Details

Title: Subtitle: Balanced and QF-1 Algebras
Creators: V. P. Camillo
K. R. Fuller
Resource Type: Journal article
Publication Details: Proceedings of the American Mathematical Society, Vol.34(2), pp.373-378
DOI: 10.1090/S0002-9939-1972-0306256-0
ISSN: 0002-9939
eISSN: 1088-6826
Publisher: American Mathematical Society
Language: English
Date published: 08/01/1972
Academic Unit: Mathematics
Record Identifier: 9984240876602771

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