{"id":110678,"date":"2018-03-11T10:36:46","date_gmt":"2018-03-11T10:36:46","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/metodos-computacionales-y-algebras-de-dimension-finita\/"},"modified":"2018-03-11T10:36:46","modified_gmt":"2018-03-11T10:36:46","slug":"metodos-computacionales-y-algebras-de-dimension-finita","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/campos-anillos-y-algebras\/metodos-computacionales-y-algebras-de-dimension-finita\/","title":{"rendered":"M\u00e9todos computacionales y \u00e1lgebras de dimensi\u00f3n finita"},"content":{"rendered":"<h2>Tesis doctoral de <strong> \u00f3scar Cortadellas Izquierdo <\/strong><\/h2>\n<p>El objetivo de este trabajo es realizar la clasificaci\u00f3n de una serie de \u00e1lgebras finitas.  en un primer bloque trataremos el problema de clasificar todas las estructuras de factorizaci\u00f3n de dimensi\u00f3n 4. El objetivo de este trabajo es obtener, salvo isomorfismo, una clasificaci\u00f3n de todas las \u00e1lgebras de dimensi\u00f3n 4 que se pueden factorizar como producto de dos \u00e1lgebras de dimensi\u00f3n 2.  el siguiente bloque se refiere al problema de clasificar ideales cofinitos seg\u00fan la dimensi\u00f3n de sus \u00e1lgebras cocientes asociadas. A lo largo del estudio desarrollaremos un nuevo procedimiento para establecer clases de isomorf\u00eda entre estas \u00e1lgebras cocientes que mejora otros m\u00e9todos estudiados anteriormente.  en este proceso resulta de vital importancia el uso de bases de gr\u00ed\u00b6bner-shirshov, ya que para estudiar la finitud de estas \u00e1lgebras estudiamos su base, que puede ser obtenida a trav\u00e9s de una base de gr\u00ed\u00b6bner-shirshov del ideal cociente. Por esta raz\u00f3n hemos impuesto la condici\u00f3n de homogeneidad, ya que si no no podemos asegurar la computabilidad de las bases de gr\u00ed\u00b6bner-shirshov.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>M\u00e9todos computacionales y \u00e1lgebras de dimensi\u00f3n finita<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 M\u00e9todos computacionales y \u00e1lgebras de dimensi\u00f3n finita <\/li>\n<li><strong>Autor:<\/strong>\u00a0 \u00f3scar Cortadellas Izquierdo <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 28\/07\/2011<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Pascual Jara Mart\u00ednez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: jose Gomez torrecillas <\/li>\n<li>Jorge Plazas vergas (vocal)<\/li>\n<li>Luis Oyonarte alcal\u00e1 (vocal)<\/li>\n<li>Jos\u00e9 Javier Lopez pe\u00f1a (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de \u00f3scar Cortadellas Izquierdo El objetivo de este trabajo es realizar la clasificaci\u00f3n de una serie de \u00e1lgebras [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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