Vol. 37, No. 1, 1971

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On epimorphisms to finitely generated modules

Edward Graham Evans, Jr.

Vol. 37 (1971), No. 1, 47–50
Abstract

Serre’s theorem on projective modules says roughly that if a projective R module is big enough it can map onto R. Forster and Swan discuss how big a free module is needed to map onto a given finitely generated module. This note examines a common generalization of these results and extends Swan’s technique.

Mathematical Subject Classification 2000
Primary: 13C05
Milestones
Received: 5 August 1970
Published: 1 April 1971
Authors
Edward Graham Evans, Jr.