{"id":37911,"date":"2018-03-09T09:37:14","date_gmt":"2018-03-09T09:37:14","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/filtros-uniformes-y-geometria-algebraica-no-conmutativa\/"},"modified":"2018-03-09T09:37:14","modified_gmt":"2018-03-09T09:37:14","slug":"filtros-uniformes-y-geometria-algebraica-no-conmutativa","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/filtros-uniformes-y-geometria-algebraica-no-conmutativa\/","title":{"rendered":"Filtros uniformes y geometria algebraica no conmutativa."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Manuel Dami\u00e1n Garc\u00eda Rom\u00e1n <\/strong><\/h2>\n<p>En esta memoria de tesis se presentan dos construcciones nuevas con el objeto de generalizar la de haces de estructura para anillos no necesariamente conmutativos. Ambas estan basadas en una abstracci\u00f3n del concepto de topolog\u00eda en la que el papel de la intersecci\u00f3n lo juega una operaci\u00f3n no conmutativa. En la primera de ellas la categoria de abiertos del espectro primo es generalizada por una categor\u00eda cuya clase de objetos es el monoide libre generado po una familia arbitraria de filtros de gabriel. Se define la noci\u00f3n de recubrimiento y se prueba que esta categor\u00eda generalizada el caso conmutativo y el de anillos con la 2nd layer condition. Para cada modulo se define un haz de estructura usando localizaci\u00f3n, que lo devuelve como el m\u00f3dulo de secciones globales. En la segunda construcc\u00edon el papel de abiertos lo juegan los filtros uniformes. A cada m\u00f3dulo se le asigna un haz definido mediante un sistema generador de secciones y abiertos donde estas coinciden, que bajo ciertas hipotesis devuelve al modulo como el conjunto de secciones globales. Utilizando inducci\u00f3n de filtros uniformes mediante morfismos de anillos se demuestra que esta construcci\u00f3n es funtorial.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Filtros uniformes y geometria algebraica no conmutativa.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Filtros uniformes y geometria algebraica no conmutativa. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Manuel Dami\u00e1n Garc\u00eda Rom\u00e1n <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 La laguna<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 13\/02\/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> Marquez Hernandez Concepcion Mercedes<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: emilio Villanueva novoa <\/li>\n<li>pascual Jara Martinez (vocal)<\/li>\n<li>Alberto Facchini (vocal)<\/li>\n<li>concepcion Vidal martin (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Manuel Dami\u00e1n Garc\u00eda Rom\u00e1n En esta memoria de tesis se presentan dos construcciones nuevas con el objeto [&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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