{"id":25599,"date":"2018-03-09T09:17:03","date_gmt":"2018-03-09T09:17:03","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/teoria-de-estructura-de-coalgebras\/"},"modified":"2018-03-09T09:17:03","modified_gmt":"2018-03-09T09:17:03","slug":"teoria-de-estructura-de-coalgebras","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/teoria-de-estructura-de-coalgebras\/","title":{"rendered":"Teor\u00eda de estructura de co\u00e1lgebras"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Ruiz Ruiz Juan  Francisco <\/strong><\/h2>\n<p>En esta memoria se estudia la estructura de las co\u00e1lgebras mediante (1) la introducci\u00f3n y estudio de las co\u00e1lgebras coprimas y (2) t\u00e9cnicas de localizaci\u00f3n. Se hace especial hincapi\u00e9 en las co\u00e1lgebras de caminos, esto es, aquellas que son definidas por grafos orientados.  el primer cap\u00edtulo es recopilatorio de las definiciones y resultados b\u00e1sicos de la teor\u00eda de co\u00e1lgebras y de las categor\u00edas de com\u00f3dulos asociadas. as\u00ed se introduce como t\u00e9cnica de estudio de com\u00f3dulos los espacios de coeficientes, y los contextos de morita-takeuchi para su posterior uso en teor\u00eda de localizaci\u00f3n.  en el segundo cap\u00edtulo se trabaja con el concepto de subco\u00e1lgebra coprima de una co\u00e1lgebra, que dualiza el de ideal primo de un \u00e1lgebra; se prueba que las subco\u00e1lgebras coprimas de c est\u00e1n en biyecci\u00f3n con los ideales primos cerrados de su \u00e1lgebra dual c*.  las subco\u00e1lgebras coprimas propocionan m\u00e1s informaci\u00f3n sobre la estructura de la co\u00e1lgebra que las subco\u00e1lgebras simples para las cuales el especto resulta tener la topolog\u00eda discreta.  la localizaci\u00f3n en categor\u00edas de com\u00f3dulos se aborda en cap\u00edtulo 3. aqu\u00ed se ofrece una sistematizaci\u00f3n de la teor\u00eda desde un nuevo enfoque, que sirve de marco de referencia a los resultados ya conocidos al respecto y aporta nuevos avances.  asociada a un grafo orientado se puede construir una co\u00e1lgebra con base los caminos en dicho grafo. Esta construcci\u00f3n, que dualiza la construcci\u00f3n cl\u00e1sica del \u00e1lgebra de caminos, est\u00e1 siendo muy estudiada en la actualidad. en el cuarto se aplica lo estudiado al caso de las co\u00e1lgebras de caminos. se tratan en profundidad las subcoalgebras de una tal co\u00e1lgebra y en particular las subco\u00e1lgebras comprimas que caracterizan en diversos casos.  se estudia tambi\u00e9n las localizaciones de una coalgebra de caminos para las que se prueba que son tambi\u00e9n co\u00e1lgebras de caminos asociadas a otro grago que est\u00e1 completamente determinado a partir de l<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Teor\u00eda de estructura de co\u00e1lgebras<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Teor\u00eda de estructura de co\u00e1lgebras <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Ruiz Ruiz Juan  Francisco <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 22\/09\/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> Merino Gonz\u00e1lez Luis Miguel<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: jos\u00e9 G\u00f3mez torrecillas <\/li>\n<li> Rio mateos \u00e1ngel del (vocal)<\/li>\n<li>dragos Stefan (vocal)<\/li>\n<li>Miguel \u00e1ngel Gomez lozano (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Ruiz Ruiz Juan Francisco En esta memoria se estudia la estructura de las co\u00e1lgebras mediante (1) la [&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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