{"id":138849,"date":"2026-01-12T17:39:00","date_gmt":"2026-01-12T17:39:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/anillos-con-modulos-planos-libres-de-torsion\/"},"modified":"2026-01-12T17:39:00","modified_gmt":"2026-01-12T17:39:00","slug":"anillos-con-modulos-planos-libres-de-torsion","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/anillos-con-modulos-planos-libres-de-torsion\/","title":{"rendered":"Anillos con modulos planos libres de torsion."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jose Gomez Torrecillas <\/strong><\/h2>\n<p>El capitulo 1 esta dedicado principalmente a la obtencion de condiciones suficientes para la existencia de cubiertas por submodulos de planos. Con este proposito se introduce el concepto de anillo ftf (anillos para los cuales los submodulos de modulos planos constituyen una clase libre de torsion).  el capitulo 2 esta dedicado al estudio de los anillos ftfa la izquierda, y su relacion con otros tipos de anillos, como los qf-3. Los resultados obtenidos proporcionan un mejor conocimiento de estos anillos.  en el capitulo 3 se estudian los anillos ftf graduados y, asimismo, se obtiene una extension de la teoria de clifford estable para objetos simples en una categoria cociente.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Anillos con modulos planos libres de torsion.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Anillos con modulos planos libres de torsion. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jose Gomez Torrecillas <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1992<\/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>Blas Torrecillas Jover<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Gomez Pardo Jos\u00e9 Luis <\/li>\n<li>Fred Van Oystreyen (vocal)<\/li>\n<li> Garcia Hernandez Jos\u00e9 Luis (vocal)<\/li>\n<li>Constantin Nastasescu (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jose Gomez Torrecillas El capitulo 1 esta dedicado principalmente a la obtencion de condiciones suficientes para la [&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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