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Torsion theories and Galois coverings of topological groups
- Source :
- Journal of Pure and Applied Algebra. 208:135-151
- Publication Year :
- 2007
- Publisher :
- Elsevier BV, 2007.
-
Abstract
- For any torsion theory in a homological category, one can define a categorical Galois structure and try to describe the corresponding Galois coverings. In this article we provide several characterizations of these coverings for a special class of torsion theories, which we call quasi-hereditary. We describe a new reflective factorization system that is induced by any quasi-hereditary torsion theory. These results are then applied to study various examples of torsion theories in the category of topological groups. (c) 2005 Elsevier B.V. All rights reserved.
Details
- ISSN :
- 00224049
- Volume :
- 208
- Database :
- OpenAIRE
- Journal :
- Journal of Pure and Applied Algebra
- Accession number :
- edsair.doi.dedup.....7c1a6d2b7733a65077c2eec518ee8f9c