{"id":136831,"date":"2026-01-12T17:00:40","date_gmt":"2026-01-12T17:00:40","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/algebras-de-bernstein-determinacion-a-partir-del-reticulo-de-subalgebras-y-modularidad\/"},"modified":"2026-01-12T17:00:40","modified_gmt":"2026-01-12T17:00:40","slug":"algebras-de-bernstein-determinacion-a-partir-del-reticulo-de-subalgebras-y-modularidad","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/algebras-de-bernstein-determinacion-a-partir-del-reticulo-de-subalgebras-y-modularidad\/","title":{"rendered":"Algebras de bernstein: determinacion a partir del reticulo de subalgebras y modularidad."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Cortes Gracia Teresa De Jes\u00fas <\/strong><\/h2>\n<p>En la memoria se estudia la relacion entre el reticulo de subalgebras de un algebra de bernstein y la estructura del algebra. Para ello, previamente se da una clasificacion salvo isomorfismo de las algebras de bernstein de dimension 4 sobre cualquier cuerpo infinito de caracteristica distinta de 2. Se plantea el problema de determinar el algebra por su reticulo de subalgebras, obteniendo que tal determinacion es posible salvo isomorfismo para las algebras de dimension 3 y las llamadas triviales de cualquier dimension y tipo. Se encuentra un contraejemplo en dimension 4 y se consigue relacionar en ciertos casos el reticulo de subalgebras con el tipo del algebra. En la ultima parte, se estudian las algebras de bernstein con reticulo de subalgebras modular, consiguiendo describir completamente tales algebras en el caso genetico y dar una caracterizacion en general. Asimismo, se prueba que toda algebra modular es genetica y esta determinada por su reticulo de subalgebras cuando el cuerpo base es algebrallamente cerrado.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Algebras de bernstein: determinacion a partir del reticulo de subalgebras y modularidad.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Algebras de bernstein: determinacion a partir del reticulo de subalgebras y modularidad. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Cortes Gracia Teresa De Jes\u00fas <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Zaragoza<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1991<\/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>Santos Gonzalez Gimenez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Perez De Vargas Luque Alberto <\/li>\n<li>Jes\u00fas Lopez Sanchez (vocal)<\/li>\n<li>Philip Holgate (vocal)<\/li>\n<li>Consuelo Martinez Lopez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Cortes Gracia Teresa De Jes\u00fas En la memoria se estudia la relacion entre el reticulo de subalgebras [&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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