{"id":84714,"date":"2018-03-10T00:09:03","date_gmt":"2018-03-10T00:09:03","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/algebras-absolutamente-valvadas-algebraicas\/"},"modified":"2018-03-10T00:09:03","modified_gmt":"2018-03-10T00:09:03","slug":"algebras-absolutamente-valvadas-algebraicas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/algebras-absolutamente-valvadas-algebraicas\/","title":{"rendered":"Algebras absolutamente valvadas algebr\u00e1icas"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Maribel Ram\u00edrez \u00e1lvarez <\/strong><\/h2>\n<p>La memoria que presentamos se enmarca en la teor\u00eda de las algebras normadas no necesariamente asociativas, y tiene como principal cometido el estudio de las algebras absolutamente valuadas algebraicas. De hecho, la principal aportaci\u00f3n de esta memoria (cap. Iii) es la prueba de la finito-dimensionalidad de las algebras absolutamente valnadas algegraicas.Un problema que hab\u00eda permanecido abierto desde 1949 y que  hab\u00eda sido abordado por matem\u00e1ticos de gran prestigio como albert, el mallah y rodr\u00edguez-palacios. Aunque los resultados obtenidos por todos ellos supon\u00edan notables avances hacia la resoluci\u00f3n del problema y merecen, por tanto, el m\u00e1ximo reconocimiento, las respuestas que proprocionaban era, en todos los casos paraciales. Para la prueba de dicho resultado se han utilizado resultados cl\u00e1sicos del analisis funcional entre los que se destaca la teor\u00eda de ultra productos de espacios normados, t\u00e9cnica novedosa en el tratamiento del problema pues basta ahora eran los desarrollos algebraicos los que prevalec\u00edan sobre los anal\u00edticos.  en el cap\u00edtulo iv de la tesis, se debilita la condici\u00f3n de absoluta valoraci\u00f3n introduciendo el concepto de algebra casi-abasolutamente valnada, consiguiendose extender al malyor\u00eda de los resultados sobre algebras absolutamente valuadas a esta nueva clse de algebras normadas cercanas a la absoluta valuaci\u00f3n y mostr\u00e1ndose hasta donde es posible llegar en aquellos resultados en los que la extensi\u00f3n no es posible. Para lograr este objetivo la t\u00e9cnica de ultraporductos es fundamental en la mayor\u00eda de los casos.Volviendo a las algebras absolutamente valuadas, y tras la abundancia de teoremas que, bajo convenientes condiciones aseguran la finito-demiensionalidad de los mismso, una clasificiaci\u00f3n salvo simorfismos de las algebras absolutamente valuadas finito-dinmensionales se echo en falta.En dimensi\u00f3n 1 y 2 el n\u00famero de clases se reduce a 1 y 4 respectivamente.  en el cap\u00edtulo ii, clasi<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Algebras absolutamente valvadas algebr\u00e1icas<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Algebras absolutamente valvadas algebr\u00e1icas <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Maribel Ram\u00edrez \u00e1lvarez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Almer\u00eda<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 26\/05\/2000<\/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>Amin Kaide El<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  El duque palomo alberto <\/li>\n<li> Gale gimeno Jos\u00e9 esteb\u00e1n (vocal)<\/li>\n<li> Cuencia mira Jos\u00e9 Antonio (vocal)<\/li>\n<li>Miguel Cabrera Garc\u00eda (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Maribel Ram\u00edrez \u00e1lvarez La memoria que presentamos se enmarca en la teor\u00eda de las algebras normadas no [&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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