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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 29-32, Pages 1581-1588
doi:10.1155/S0161171204310082

Projectivity and flatness over the endomorphism ring of a finitely generated module.

S. Caenepeel and T. Guédénon

Faculty of Applied Sciences, Vrije Universiteit Brussel (VUB), Brussels 1050, Belgium

Abstract

Let A be a ring and Λ a finitely generated A-module. We give necessary and sufficient conditions for projectivity and flatness of a module over the endomorphism ring of Λ.