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Conormal morphisms

Published online by Cambridge University Press:  12 July 2007

Edgar Enochs ,
J. R. García Rozas ,
Luis Oyonarte  and
Overtoun M. G. Jenda
Edgar Enochs
Affiliation:
Department of Mathematics, University of Kentucky, Lexington, KY 40506-0027, USA ([email protected])
J. R. García Rozas
Affiliation:
Departamento de Álgebra y Análisis Matemático, Universidad de Almería, 04071 Almería, [email protected];
Luis Oyonarte
Affiliation:
Departamento de Álgebra y Análisis Matemático, Universidad de Almería, 04071 Almería, [email protected]
Overtoun M. G. Jenda
Affiliation:
Department of Discrete and Statistical Science, Auburn University, Auburn, AL 36849-5307, USA ([email protected])
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Abstract

This article represents another step in our programme of obtaining a Galois theory and a coGalois theory when we have a category C and a given enveloping (for Galois) or covering (for coGalois) class. More precisely, in this paper, we study what should be understood by a conormal morphism between two objects of a given category and we characterize conormal morphisms between finite abelian groups when the covering class under consideration is that of torsion-free abelian groups.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 5 , October 2003 , pp. 1047 - 1056
Copyright
Copyright © Royal Society of Edinburgh 2003

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