{"id":138639,"date":"2026-01-12T17:37:12","date_gmt":"2026-01-12T17:37:12","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/extensiones-de-cleft-en-categorias-cerradas-interpretacion-cohomologica\/"},"modified":"2026-01-12T17:37:12","modified_gmt":"2026-01-12T17:37:12","slug":"extensiones-de-cleft-en-categorias-cerradas-interpretacion-cohomologica","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/extensiones-de-cleft-en-categorias-cerradas-interpretacion-cohomologica\/","title":{"rendered":"Extensiones de cleft en categorias cerradas. interpretacion cohomologica."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Alonso Alvarez Jos\u00e9 Nicanor <\/strong><\/h2>\n<p>En este trabajo, en su primera parte, se desarrolla una teoria de productos cruzados en el contexto de una categoria cerrada simetrica c con igualadores y coigualadores, obteniendose, entre otros resultados, una biyeccion entre extensiones de cleft de a por h y el segundo grupo de cohomolog\u00eda h2(h,za), resultado que permite recuperar como casos particulares las interpretaciones del segundo grupo de cohomolog\u00eda dadas por m.E.Sweedler en \u00abcohomology of algebras over hopf algebras\u00bb (trans. A.M.S. 133) y y.Doi en \u00abequivalent crossed products for a hopf algebra\u00bb (comm. In. Algebra 17).  despues de obtener un teorema de descomposicion de algebras de hopf que generaliza los dados por r.K. Molnar en \u00absemi-direct products of hopf algebras\u00bb (j.Of.Alg. 47) y de caracterizar los sistemas admisibles, se finaliza con un capitulo dedicado al estudio (siempre en el marco de categorias cerradas) de h-objetos de galois con base normal, y del monoide pic(h,k), para acabar obteniendo la descomposicion:  bm(c,ih)  b(c)+h2(h,k), en donde k es el objeto base de la categoria cerrada c.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Extensiones de cleft en categorias cerradas. interpretacion cohomologica.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Extensiones de cleft en categorias cerradas. interpretacion cohomologica. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Alonso Alvarez Jos\u00e9 Nicanor <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Santiago de compostela<\/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> Fernandez Vilaboa Jos\u00e9 Manuel<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Eduardo Garcia-rodeja Fernandez <\/li>\n<li> Bueso Montero Jos\u00e9 Luis (vocal)<\/li>\n<li> Barja Perez Jos\u00e9 Mar\u00eda (vocal)<\/li>\n<li> Hermida Alonso Jos\u00e9 Angel (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Alonso Alvarez Jos\u00e9 Nicanor En este trabajo, en su primera parte, se desarrolla una teoria de productos [&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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