Covering morphisms |
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| Authors: | Edgar E Enochs JR García Rozas Luis Oyonarte |
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| Institution: | 1. Dept. of Mathematics , University of Kentucky , Lexington, KY, 40506-0027, USA E-mail: enochs@ms.uky.edu;2. Dept. álgebra y Análisis Matemátíco , Universidad de Almeria , Almeria, 04120, Spain E-mail: jrgrozas@ualm.es,mailto:loyonart@ualm.es |
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| Abstract: | Let (R, m) be a two-dimensional regular local ring and let A be a finitely generated torsion-free R-module. If A is a complete module, then Dan Katz and Vijay Kodiyalam show A satisfies five conditions. They ask whether these five conditions are equivalent without assuming A to be complete. In a previous paper we determined all implications among these five conditions with one exception. In this paper, with an additional hypothesis on the units of R, we resolve the remaining case. |
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| Keywords: | integral closure reduction of an ideal reduction of a module reduction number Rees algebra |
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