Finite dimensional commutative K-algebras with unity

This paper is devoted to the study of finite K-algebras i.e. the commutative K-algebras with unity that are finite dimensional vector space over a field K. A finite K-álgebra is direct sum of local finite K-algebras. We obtain a characterization of the local finite K-algebra K[x]/(f(x)) , show that...

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Autores:: Granados-Pinzón, Claudia
Olaya-León, Wilson

Tipo de recurso:

Fecha de publicación:: 2016

Institución:: Universidad EAFIT

Repositorio:: Repositorio EAFIT

Idioma:: spa

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spelling	2016-11-112017-04-03T16:10:27Z2016-11-222017-04-03T16:10:27Z2256-43141794–9165http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/3336http://hdl.handle.net/10784/1129110.17230/ingciencia.12.24.2This paper is devoted to the study of finite K-algebras i.e. the commutative K-algebras with unity that are finite dimensional vector space over a field K. A finite K-álgebra is direct sum of local finite K-algebras. We obtain a characterization of the local finite K-algebra K[x]/(f(x)) , show that certain finite K-álgebras are isomorphic and discompose the finite K-algebra K[x]/(f(x)) in local finite K-algebras.En este artículo presentamos un estudio sobre las K-álgebras finitas, es decir las K-álgebras conmutativas con unidad que son espacios vectoriales de dimensión finita sobre un cuerpo K. Estas son suma directa de K-álgebras finitas locales. Caracterizamos la K-álgebra finita local K[x]/(f(x)), mostramos que ciertas K-álgebras finitas son isomorfas y descomponemos la K-álgebra finita K[x]/(f(x)) en K-álgebras finitas locales.application/pdfspaUniversidad EAFIThttp://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/3336Copyright (c) 2016 Ingeniería y Ciencia \| ing.cienc.http://creativecommons.org/licenses/by/4.0Acceso abiertohttp://purl.org/coar/access_right/c_abf2instname:Universidad EAFITreponame:Repositorio Institucional Universidad EAFITIngeniería y Ciencia \| ing.cienc.; Vol 12, No 24 (2016); 31-49Ingeniería y Ciencia \| ing.cienc.; Vol 12, No 24 (2016); 31-49Finite dimensional commutative K-algebras with unityK-álgebras finitas conmutativas con unidadinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionarticlepublishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Finite-dimensional algebrassum directisomorphism of algebrasK-Álgebras de dimensión finitasuma directaIsomorfismos de álgebrasGranados-Pinzón, ClaudiaOlaya-León, WilsonIngeniería y Ciencia12243149ing.ciencORIGINALarticulo.htmlarticulo.htmlTexto completo HTMLtext/html290https://repository.eafit.edu.co/bitstreams/0c48c499-a262-4db0-af8e-aee088943cc2/download0a488e504cba77b9de82ddee0a8252c6MD51document (39).pdfdocument (39).pdfTexto completo PDFapplication/pdf212926https://repository.eafit.edu.co/bitstreams/de0246c9-5b69-4d4d-bf0c-fb34c2b63a16/download9b52cc4a44a8d790fff5c0e58b95eb96MD52THUMBNAILminaitura-ig_Mesa de trabajo 1.jpgminaitura-ig_Mesa de trabajo 1.jpgimage/jpeg265796https://repository.eafit.edu.co/bitstreams/b1f7237c-3b3d-4f4c-a28f-64ed85ef26e4/downloadda9b21a5c7e00c7f1127cef8e97035e0MD5310784/11291oai:repository.eafit.edu.co:10784/112912020-02-18 14:00:32.631open.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co
dc.title.eng.fl_str_mv	Finite dimensional commutative K-algebras with unity
dc.title.spa.fl_str_mv	K-álgebras finitas conmutativas con unidad
title	Finite dimensional commutative K-algebras with unity
spellingShingle	Finite dimensional commutative K-algebras with unity Finite-dimensional algebras sum direct isomorphism of algebras K-Álgebras de dimensión finita suma directa Isomorfismos de álgebras
title_short	Finite dimensional commutative K-algebras with unity
title_full	Finite dimensional commutative K-algebras with unity
title_fullStr	Finite dimensional commutative K-algebras with unity
title_full_unstemmed	Finite dimensional commutative K-algebras with unity
title_sort	Finite dimensional commutative K-algebras with unity
dc.creator.fl_str_mv	Granados-Pinzón, Claudia Olaya-León, Wilson
dc.contributor.author.none.fl_str_mv	Granados-Pinzón, Claudia Olaya-León, Wilson
dc.subject.keyword.eng.fl_str_mv	Finite-dimensional algebras sum direct isomorphism of algebras
topic	Finite-dimensional algebras sum direct isomorphism of algebras K-Álgebras de dimensión finita suma directa Isomorfismos de álgebras
dc.subject.keyword.spa.fl_str_mv	K-Álgebras de dimensión finita suma directa Isomorfismos de álgebras
description	This paper is devoted to the study of finite K-algebras i.e. the commutative K-algebras with unity that are finite dimensional vector space over a field K. A finite K-álgebra is direct sum of local finite K-algebras. We obtain a characterization of the local finite K-algebra K[x]/(f(x)) , show that certain finite K-álgebras are isomorphic and discompose the finite K-algebra K[x]/(f(x)) in local finite K-algebras.
publishDate	2016
dc.date.issued.none.fl_str_mv	2016-11-22
dc.date.available.none.fl_str_mv	2017-04-03T16:10:27Z
dc.date.accessioned.none.fl_str_mv	2017-04-03T16:10:27Z
dc.date.none.fl_str_mv	2016-11-11
dc.type.eng.fl_str_mv	info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion article publishedVersion
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dc.identifier.uri.none.fl_str_mv	http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/3336 http://hdl.handle.net/10784/11291
dc.identifier.doi.none.fl_str_mv	10.17230/ingciencia.12.24.2
identifier_str_mv	2256-4314 1794–9165 10.17230/ingciencia.12.24.2
url	http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/3336 http://hdl.handle.net/10784/11291
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dc.rights.spa.fl_str_mv	Copyright (c) 2016 Ingeniería y Ciencia \| ing.cienc. http://creativecommons.org/licenses/by/4.0
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rights_invalid_str_mv	Copyright (c) 2016 Ingeniería y Ciencia \| ing.cienc. http://creativecommons.org/licenses/by/4.0 Acceso abierto http://purl.org/coar/access_right/c_abf2
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dc.publisher.spa.fl_str_mv	Universidad EAFIT
dc.source.none.fl_str_mv	instname:Universidad EAFIT reponame:Repositorio Institucional Universidad EAFIT
dc.source.eng.fl_str_mv	Ingeniería y Ciencia \| ing.cienc.; Vol 12, No 24 (2016); 31-49
dc.source.spa.fl_str_mv	Ingeniería y Ciencia \| ing.cienc.; Vol 12, No 24 (2016); 31-49
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Finite dimensional commutative K-algebras with unity

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