{"id":33710,"date":"1998-01-01T00:00:00","date_gmt":"1998-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/homologia-de-andre-quillen-y-descomposicion-del-futor-tor\/"},"modified":"1998-01-01T00:00:00","modified_gmt":"1998-01-01T00:00:00","slug":"homologia-de-andre-quillen-y-descomposicion-del-futor-tor","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/homologia-de-andre-quillen-y-descomposicion-del-futor-tor\/","title":{"rendered":"Homolog\u00eda de andre-quillen y descomposicion del futor tor."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Amalia Blanco Louro <\/strong><\/h2>\n<p>Sea a un anillo (conmutativo con 1), i un ideal de a y b = a\/i. Entonces i es un ideal regular (es decir, i\/i2 es un b-m\u00f3dulo proyectivo y el homomorfismo can\u00f3nico delta*bi\/i2 &#8212; tor*a(b,b) es un isomorfismo) si y solo si los funtores de cohomolog\u00eda de andr\u00e9 quill\u00e9n hn(a,b,-) se anulan para todo n mayor o igual a 2. Este resultado fu\u00e9 obtenido por d. Quill\u00e9n en 1970. En este trabajo se prueba que hn(a,b,-) = 0 para todo n mayor o igual a 3 si y solo si h1(e) es un b-m\u00f3dulo proyectivo y el homomorfismo can\u00f3nico delta*h1(e) &#8212; h*(e) es un isomorfismo, siendo e el complejo de koszul asociado a un conjunto de generadores de i. Este resultado ha sido obtenido por a.G. Rodicio en el caso de que a contiene un cuerpo.  bajo estas hip\u00f3tesis se obtienen adem\u00e1s resultados sobre la estructura de los grupos torna(b,b). Por ejemplo, si hn(a,b,-) = 0 para todo n mayor o igual a 3, entonces tornna(b,b) = +p+q=n,p&lt;-qhq-p(kos*(fi)q) donde kos*(fi)* es el complejo de koszul asociado al homomorfismo can\u00c2\u00a7\u00f3nico fi:h1(e) &#8212; e1xab.  en la \u00faltima parte del trabajo se deducen algunos reusltados sobre la rigidez de la homolog\u00eda de andr\u00e9-quillen.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Homolog\u00eda de andre-quillen y descomposicion del futor tor.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Homolog\u00eda de andre-quillen y descomposicion del futor tor. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Amalia Blanco Louro <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Santiago de compostela<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1998<\/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>Antonio Garcia Rodicio<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Emilio Villanueva Novoa <\/li>\n<li>Aniceto Murillo Mas (vocal)<\/li>\n<li> Hermida Alonso Jos\u00e9 Angel (vocal)<\/li>\n<li>Francesc Planas Vilanova (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Amalia Blanco Louro Sea a un anillo (conmutativo con 1), i un ideal de a y b [&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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