Homology of precrossed modules
[EN] We prove that the category of precrossed modules is an algebraic category, and we develop a cotriple (co)homology theory for precrossed modules which generalizes the Eilenberg-MacLane theory of (co)homology groups. We study the relationship of this theory with the (co)homology of crossed module...
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2002 |
| Country: | España |
| Institution: | Universidad de León |
| Repository: | BULERIA. Repositorio Institucional de la Universidad de León |
| OAI Identifier: | oai:buleria.unileon.es:10612/20943 |
| Online Access: | https://projecteuclid.org/journals/illinois-journal-of-mathematics/volume-46/issue-3/Homology-of-precrossed-modules/10.1215/ijm/1258130982.full https://hdl.handle.net/10612/20943 |
| Access Level: | Open access |
| Keyword: | Matemáticas Homology Cohomology Precrossed module Crossed module Cotriple 1201.03 Teoría de Categorías 1201.06 Grupos, Generalidades 1201.07 Álgebra Homológica |
| Summary: | [EN] We prove that the category of precrossed modules is an algebraic category, and we develop a cotriple (co)homology theory for precrossed modules which generalizes the Eilenberg-MacLane theory of (co)homology groups. We study the relationship of this theory with the (co)homology of crossed modules. |
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