{"id":24120,"date":"2018-03-09T09:14:56","date_gmt":"2018-03-09T09:14:56","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/co-homologa%c2%ada-de-modulos-precruzados\/"},"modified":"2018-03-09T09:14:56","modified_gmt":"2018-03-09T09:14:56","slug":"co-homologa%c2%ada-de-modulos-precruzados","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/co-homologa%c2%ada-de-modulos-precruzados\/","title":{"rendered":"(co) homolog\u00eda de m\u00f3dulos precruzados"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Daniel Arias Mosquera <\/strong><\/h2>\n<p>Los m\u00f3dulos precruzados son unos objetos algebr\u00e1icos que han sido utilizados en diversos campos de las matem\u00e1ticas, bajo diferentes formas, a lo largo de las \u00faltimas d\u00e9cadas. Proporcionan una generalizaci\u00f3n simult\u00e1nea de varios conceptos de la teor\u00eda de grupos: subgrupo normal, g-grupo, homomorfismo de grupos, etc, .., Y juegan un papel importante en diversas \u00e1reas, como la homolog\u00eda y cohomolog\u00eda de grupos, la teor\u00eda de homotop\u00eda, la teor\u00eda de grafos, la k-teor\u00eda algebraica, etc ..  el objetivo principal de la tesis es el desarrollo de una teor\u00eda de homolog\u00eda y cohomolog\u00eda en la categor\u00eda de los m\u00f3dulos precruzados, como herramienta de trabajo manejable para su estudio. Se dota a la categor\u00eda de los m\u00f3dulos precruzados, de invariantes de homolog\u00eda y cohomolog\u00eda, como particularizaci\u00f3n de la teor\u00eda general de homolog\u00eda de cotriple de barr y beck. Previamente se comprueba que la categor\u00eda de los m\u00f3dulos precruzados es una categor\u00eda algebraica, esto es, que existe un funtor de olvido tripleable desde la categor\u00eda de los m\u00f3dulos precruzados en la categor\u00eda de conjuntos. se obtiene un cotriple libre, y se deriva el funtor abelianizaci\u00f3n para obtener la homolog\u00eda, y los funtores de homomorfismo para obtener la cohomolog\u00eda con coeficientes en un m\u00f3dulo precruzado abeliano.  los resultados obtenidos acerca de los m\u00f3dulos precruzados han sido puestos en relaci\u00f3n con nociones de grupos obtenidas desde un punto de vista absoluto o relativo. En concreto, la homolog\u00eda relativa de grupos, las extensiones relativas centrales universales de loday, o los grupos relativos de k-teor\u00eda algebraica de stein, aparecen a menudo en la primera componente de los m\u00f3dulos precruzados, as\u00ed como en la segunda componente suelen aparecer, por tanto, una buena herramienta para compaginar simult\u00e1neamente resultados relativos y absolutos de la teor\u00eda de grupos.  el cap\u00edtulo 1 est\u00e1 dedicado al estudio de las caracter\u00edsticas f<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>(co) homolog\u00eda de m\u00f3dulos precruzados<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 (co) homolog\u00eda de m\u00f3dulos precruzados <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Daniel Arias Mosquera <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Santiago de compostela<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 30\/06\/2003<\/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 Ladra Gonz\u00e1lez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: javier Otal cinca <\/li>\n<li> Hermida alonso Jos\u00e9 angel (vocal)<\/li>\n<li>Antonio Mart\u00ednez  cegarra (vocal)<\/li>\n<li>Francisco Jes\u00fas Castro jim\u00e9nez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Daniel Arias Mosquera Los m\u00f3dulos precruzados son unos objetos algebr\u00e1icos que han sido utilizados en diversos campos [&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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