J Austral Math Soc Ser A 52 pp141--142, 1992.

A note on Right Equivalence of Module Presentations

M. J. Canfell

(Received 28 July 1989; revised 27 Novemvber 1990)

Abstract

If R has 1 in the stable range, then any two presentations f, g: P Ž M of an R-module M by a finitely generated projective P are right equivalent, that is, f = gh for some automorphism h of P. The converse is also true.

1991 AMS Subject Classification: 16A48

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Authors

M. J. Canfell: Department of Mathematics, Statistics and Computer Science, University of New England, Armidale, N.S.W. 2351, Australia.

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Last Modified: Mon Feb 3 9:46:11 2003