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The endomorphism ring of a locally free module

Published online by Cambridge University Press:  09 April 2009

W. N. Franzsen  and
P. Schultz
W. N. Franzsen
Affiliation:
Department of MathematicsUniversity of Western AustraliaNedlands, W. A. 6009, Australia
P. Schultz
Affiliation:
Department of MathematicsUniversity of Western AustraliaNedlands, W. A. 6009, Australia
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Abstract

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We identify a large class of rings over which locally free modules are determined by their endomorphism rings. We characterize these endomorphism rings and consider under what circumstances the conditions on the locally free modules can be relaxed, for example by requiring that only one of the rings need be in the special class, or by replacing ‘free' by “projective”.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 35 , Issue 3 , December 1983 , pp. 308 - 326
Copyright
Copyright © Australian Mathematical Society 1983

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