{"id":129356,"date":"1996-01-01T00:00:00","date_gmt":"1996-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/cubiertas-envolturas-y-problemas-abiertos-sobre-la-inmersion-de-modulos-en-modulos-libres\/"},"modified":"1996-01-01T00:00:00","modified_gmt":"1996-01-01T00:00:00","slug":"cubiertas-envolturas-y-problemas-abiertos-sobre-la-inmersion-de-modulos-en-modulos-libres","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/cubiertas-envolturas-y-problemas-abiertos-sobre-la-inmersion-de-modulos-en-modulos-libres\/","title":{"rendered":"Cubiertas, envolturas y problemas abiertos sobre la inmersion de modulos en modulos libres"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Juan Rada Rincon <\/strong><\/h2>\n<p>En el primer capitulo desarrollamos un criterio general que nos permite decidir cuando, para una clase arbitraria de modulos, todo modulo tiene una preenvoltura o, dualmente, una precubierta en dicha clase. Esto es posible mediante la introduccion de los conceptos duales de clase localmente inicialmente peque\u00f1a y localmente finalmente peque\u00f1a de modulos. Termina el estudio de las (pre)cubiertas y (pre)envolturas con una caracterizacion, en el caso que anillo es semirregular, de los anillos con la propiedad que todo modulo finitamente generado tiene una envoltura proyectiva monomorfica. Este ultimo problema esta relacionado con un problema planteado por faith, que nosotros llamamos el problema de los fgf: es un anillo fgf por la izquierda qf? El abordaje de esta cuestion en el caso que el anillo es semirregular el objetivo del segundo capitulo. Si en lugar de suponer que el anillo es fgf por la izquierda suponemos que el anillo es cf por la izquierda la respuesta ya no es afirmativa.  sin embargo hasta lo que sabemos, no existen ejemplos de anillos cf por la izquierda que no sean artinia por la izquierda, lo que plantea la pregunta: es una anillo cf por la izquierda artiniano por la izquierda? Este es el contenido del capitulo 3 cuando el anillo es semirregular.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Cubiertas, envolturas y problemas abiertos sobre la inmersion de modulos en modulos libres<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Cubiertas, envolturas y problemas abiertos sobre la inmersion de modulos en modulos libres <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Juan Rada Rincon <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Murcia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1996<\/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>Manuel Saorin Casta\u00f1o<\/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>Pere Ara Bertran (vocal)<\/li>\n<li>Nieves Rodriguez Gonzalez (vocal)<\/li>\n<li>Pascual Jara Martinez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Juan Rada Rincon En el primer capitulo desarrollamos un criterio general que nos permite decidir cuando, para [&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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