Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-24T03:49:00.323Z Has data issue: false hasContentIssue false
  • English
  • Français

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])
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)