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FINITELY GENERATED COTORSION MODULES

Published online by Cambridge University Press:  20 January 2009

Edgar E. Enochs ,
J. R. García Rozas  and
Luis Oyonarte
Edgar E. Enochs
Affiliation:
Department of Mathematics, University of Kentucky, Lexington, KY 40506-0027, US (enochs@ms.uky.edu)
J. R. García Rozas
Affiliation:
Departamento de Álgebra y Análisis Matemático, Universidad de Almería, 04120 Almería, ES (jrgrozas@ualm.es; oyonarte@ualm.es)
Luis Oyonarte
Affiliation:
Departamento de Álgebra y Análisis Matemático, Universidad de Almería, 04120 Almería, ES (jrgrozas@ualm.es; oyonarte@ualm.es)
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Abstract

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We describe the structure of finitely generated cotorsion modules over commutative noetherian rings. Also we characterize the so-called covering morphisms between finitely generated modules over these rings.

AMS 2000 Mathematics subject classification: Primary 16D10. Secondary 13C11

Keywords

noetherianmoduleflatcotorsioncovercomplete

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 44 , Issue 1 , February 2001 , pp. 143 - 152
Copyright
Copyright © Edinburgh Mathematical Society 2001