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...

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Detalhes bibliográficos
Autores: Arias Mosquera, Daniel, Ladra, Manuel, R.-Grandjeán, Alfredo
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2002
País:España
Recursos:Universidad de León
Repositorio:BULERIA. Repositorio Institucional de la Universidad de León
OAI Identifier:oai:buleria.unileon.es:10612/20943
Acesso em linha: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:acceso abierto
Palavra-chave:Matemáticas
Homology
Cohomology
Precrossed module
Crossed module
Cotriple
1201.03 Teoría de Categorías
1201.06 Grupos, Generalidades
1201.07 Álgebra Homológica
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repository_id_str
spelling Homology of precrossed modulesArias Mosquera, DanielLadra, ManuelR.-Grandjeán, AlfredoMatemáticasHomologyCohomologyPrecrossed moduleCrossed moduleCotriple1201.03 Teoría de Categorías1201.06 Grupos, Generalidades1201.07 Álgebra Homológica[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.SIMinisterio de Ciencia y TecnologíaXunta de GaliciaDuke University PressMatematica AplicadaEscuela de Ingenierias Industrial, Informática y Aeroespacial2002info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttps://projecteuclid.org/journals/illinois-journal-of-mathematics/volume-46/issue-3/Homology-of-precrossed-modules/10.1215/ijm/1258130982.fullhttps://hdl.handle.net/10612/20943reponame:BULERIA. Repositorio Institucional de la Universidad de Leóninstname:Universidad de LeónInglésBFM2000- 0523PGIDT01PXI20702PRinfo:eu-repo/semantics/openAccessoai:buleria.unileon.es:10612/209432026-06-24T12:43:27Z
dc.title.none.fl_str_mv Homology of precrossed modules
title Homology of precrossed modules
spellingShingle Homology of precrossed modules
Arias Mosquera, Daniel
Matemáticas
Homology
Cohomology
Precrossed module
Crossed module
Cotriple
1201.03 Teoría de Categorías
1201.06 Grupos, Generalidades
1201.07 Álgebra Homológica
title_short Homology of precrossed modules
title_full Homology of precrossed modules
title_fullStr Homology of precrossed modules
title_full_unstemmed Homology of precrossed modules
title_sort Homology of precrossed modules
dc.creator.none.fl_str_mv Arias Mosquera, Daniel
Ladra, Manuel
R.-Grandjeán, Alfredo
author Arias Mosquera, Daniel
author_facet Arias Mosquera, Daniel
Ladra, Manuel
R.-Grandjeán, Alfredo
author_role author
author2 Ladra, Manuel
R.-Grandjeán, Alfredo
author2_role author
author
dc.contributor.none.fl_str_mv Matematica Aplicada
Escuela de Ingenierias Industrial, Informática y Aeroespacial
dc.subject.none.fl_str_mv Matemáticas
Homology
Cohomology
Precrossed module
Crossed module
Cotriple
1201.03 Teoría de Categorías
1201.06 Grupos, Generalidades
1201.07 Álgebra Homológica
topic Matemáticas
Homology
Cohomology
Precrossed module
Crossed module
Cotriple
1201.03 Teoría de Categorías
1201.06 Grupos, Generalidades
1201.07 Álgebra Homológica
description [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.
publishDate 2002
dc.date.none.fl_str_mv 2002
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv 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
url 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
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv BFM2000- 0523
PGIDT01PXI20702PR
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Duke University Press
publisher.none.fl_str_mv Duke University Press
dc.source.none.fl_str_mv reponame:BULERIA. Repositorio Institucional de la Universidad de León
instname:Universidad de León
instname_str Universidad de León
reponame_str BULERIA. Repositorio Institucional de la Universidad de León
collection BULERIA. Repositorio Institucional de la Universidad de León
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869408695594516480
score 15.301629

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