{"id":12969,"date":"2018-03-09T08:59:03","date_gmt":"2018-03-09T08:59:03","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/anillos-noetherianos-dualidad\/"},"modified":"2018-03-09T08:59:03","modified_gmt":"2018-03-09T08:59:03","slug":"anillos-noetherianos-dualidad","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/anillos-noetherianos-dualidad\/","title":{"rendered":"Anillos noetherianos. dualidad"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Joaquin Jodar Reyes <\/strong><\/h2>\n<p>Dada un algebra noetheriana afin sobre un cuerpo, se estudian propiedades para la existencia de una dualidad entre clases de modulos localmente finitos a derecha y a izquierda.  las propiedades que se consideran son de los siguientes tipos :(1) homol\u00f3gicas (condicion de auslander, gorenstein, regular o cohen-macaulay). En consecuencia, las algebras que se estudian tienen dimension inyectiva finita o m\u00e1s generalmente, dimension global finita, y tambien dimension de gelfand-kirillov finita. con estas condiciones es posible caracterizar cuando existen modulos localmente finitos no nulos: la dimensi\u00f3n de gelfand-kirillov coincide con la dimension inyectiva. (2) de localizacion(condiciona fuerte de second layer). La clase de los modulos localmente finitos se estudia a traves del modulo subyacente a la co\u00e1lgebra dual; la condicion de second layer es la condicion necesaria y suficiente para que esta sea un modulo inyectivo. (3) de calculo simbolico: uso de bases de groebner en un contexto no conmutativo. Las clases de modulos localmente finitos a derecha e izquierda est\u00e1n relacionadas mediante una dualidad. Uno de los resultados fundamentales es el estudio de la representacion de esta dualidad, la cual se caracteriza por la igualdad de las dimensiones de los modulos simples y de sus im\u00e1genes por la dualidad. Las bases de groebner se usan como tecnica computacional para probar esta igualdad en los ejemplos estudiados.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Anillos noetherianos. dualidad<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Anillos noetherianos. dualidad <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Joaquin Jodar Reyes <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 27\/09\/2001<\/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>Pascual Jara Martinez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Antonio Mart\u00ednez  cegarra <\/li>\n<li> Garcia hernandez Jos\u00e9 Luis (vocal)<\/li>\n<li>laureano Gonzalez-vega (vocal)<\/li>\n<li>victor Aldaya valverde (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Joaquin Jodar Reyes Dada un algebra noetheriana afin sobre un cuerpo, se estudian propiedades para la existencia [&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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