Applications of stratifying systems to the finitistic dimension

Given an Ext-injective stratifying system of A-modules (theta, (Y) over bar, less than or similar to) satisfying that the projective dimension of Y is finite, we prove that the finitistic dimension of the algebra A is equal to the finitistic dimension of the category I(theta) = {X is an element of m...

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Detalhes bibliográficos
Autores: Marcosa, ED, Mendoza, O, Saenz, C
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2006
País:México
Recursos:Universidad Nacional Autónoma de México
Repositorio:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/1348
Acesso em linha:http://hdl.handle.net/11154/1348
Access Level:acceso abierto
Palavra-chave:Mathematics, Applied
Mathematics
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spelling Applications of stratifying systems to the finitistic dimensionMarcosa, EDMendoza, OSaenz, CMathematics, AppliedMathematicsGiven an Ext-injective stratifying system of A-modules (theta, (Y) over bar, less than or similar to) satisfying that the projective dimension of Y is finite, we prove that the finitistic dimension of the algebra A is equal to the finitistic dimension of the category I(theta) = {X is an element of mod Lambda : Ext(Lambda)(1) (-, X)vertical bar(F(theta)) = 0}. Moreover, using the theory of stratifying systems we obtain bounds for the finitistic dimension of A. In particular, we get the optimal bound 2n - 2 for the finitistic dimension of a standardly stratified algebra with n simples. (c) 2005 Elsevier B.V. All rights reserved.2011-01-22T10:26:27Z2011-01-22T10:26:27Z2006info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0022-4049http://hdl.handle.net/11154/1348145810.1016/j.jpaa.2005.07.009205(2):393-411reponame:Sistema de Información de la Facultad de Ciencias, UNAMinstname:Universidad Nacional Autónoma de Méxicoinstacron:UNAMenJournal of Pure and Applied Algebrainfo:eu-repo/semantics/openAccessoai:repositorio.fciencias.unam.mx:11154/13482025-09-17T19:20:12Z
dc.title.none.fl_str_mv Applications of stratifying systems to the finitistic dimension
title Applications of stratifying systems to the finitistic dimension
spellingShingle Applications of stratifying systems to the finitistic dimension
Marcosa, ED
Mathematics, Applied
Mathematics
title_short Applications of stratifying systems to the finitistic dimension
title_full Applications of stratifying systems to the finitistic dimension
title_fullStr Applications of stratifying systems to the finitistic dimension
title_full_unstemmed Applications of stratifying systems to the finitistic dimension
title_sort Applications of stratifying systems to the finitistic dimension
dc.creator.none.fl_str_mv Marcosa, ED
Mendoza, O
Saenz, C
author Marcosa, ED
author_facet Marcosa, ED
Mendoza, O
Saenz, C
author_role author
author2 Mendoza, O
Saenz, C
author2_role author
author
dc.subject.none.fl_str_mv Mathematics, Applied
Mathematics
topic Mathematics, Applied
Mathematics
description Given an Ext-injective stratifying system of A-modules (theta, (Y) over bar, less than or similar to) satisfying that the projective dimension of Y is finite, we prove that the finitistic dimension of the algebra A is equal to the finitistic dimension of the category I(theta) = {X is an element of mod Lambda : Ext(Lambda)(1) (-, X)vertical bar(F(theta)) = 0}. Moreover, using the theory of stratifying systems we obtain bounds for the finitistic dimension of A. In particular, we get the optimal bound 2n - 2 for the finitistic dimension of a standardly stratified algebra with n simples. (c) 2005 Elsevier B.V. All rights reserved.
publishDate 2006
dc.date.none.fl_str_mv 2006
2011-01-22T10:26:27Z
2011-01-22T10:26:27Z
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
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format article
status_str publishedVersion
dc.identifier.none.fl_str_mv 0022-4049
http://hdl.handle.net/11154/1348
1458
10.1016/j.jpaa.2005.07.009
identifier_str_mv 0022-4049
1458
10.1016/j.jpaa.2005.07.009
url http://hdl.handle.net/11154/1348
dc.language.none.fl_str_mv en
language_invalid_str_mv en
dc.relation.none.fl_str_mv Journal of Pure and Applied Algebra
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv 205(2):393-411
reponame:Sistema de Información de la Facultad de Ciencias, UNAM
instname:Universidad Nacional Autónoma de México
instacron:UNAM
instname_str Universidad Nacional Autónoma de México
instacron_str UNAM
institution UNAM
reponame_str Sistema de Información de la Facultad de Ciencias, UNAM
collection Sistema de Información de la Facultad de Ciencias, UNAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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