{"id":135998,"date":"1997-01-01T00:00:00","date_gmt":"1997-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/sistemas-de-ecuaciones-lineales-sobre-anillos-conmutativos\/"},"modified":"1997-01-01T00:00:00","modified_gmt":"1997-01-01T00:00:00","slug":"sistemas-de-ecuaciones-lineales-sobre-anillos-conmutativos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/sistemas-de-ecuaciones-lineales-sobre-anillos-conmutativos\/","title":{"rendered":"Sistemas de ecuaciones lineales sobre anillos conmutativos."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Francisco Iribarren M. Araceli De <\/strong><\/h2>\n<p>La presente memoria esta dedicada al estudio de los sistemas de ecuaciones lineales en anillos conmutativos.  tras probar que un sistema (s):a.X=b tiene solucion en el anillo entonces se verifican la igualdad de ideales determinantales y la igualdad de rangos entre la matriz del sistema y la matriz ampliada, se caracterizan diversas clases de anillos en torno a la reciproca de estas condiciones. Especialmente importante es la clasificacion de los anillos integramente cerrados y los dominios de prufer. Se estudian tambien los sistemas de ecuaciones, para matrices cuadradas cuyo determinante sea un no divisor de cero, obteniendo criterios equivalentes al caso clasico.  se aborda en quinto capitulo el problema abierto de caracterizar cuando el anillo de polinomios en una indeterminada es integramente cerrado.  resolviendose el problema en algunos casos particulares.  la parte final de la memoria esta dedicada al estudio de los sistemas de ecuaciones en el contexto de la teoria de resoluciones libres finitas.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Sistemas de ecuaciones lineales sobre anillos conmutativos.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Sistemas de ecuaciones lineales sobre anillos conmutativos. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Francisco Iribarren M. Araceli De <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Valladolid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1997<\/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> Hermida Alonso Jos\u00e9 Angel<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Tom\u00e1s S\u00e1nchez Giralda <\/li>\n<li>Alain Verschoren (vocal)<\/li>\n<li>Emilio Villanueva Novoa (vocal)<\/li>\n<li>Pascual Jara Martinez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Francisco Iribarren M. Araceli De La presente memoria esta dedicada al estudio de los sistemas de ecuaciones [&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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[2809,1191,4335,126,31239,12451],"tags":[4338,2811,250299,38213,2815,2813],"class_list":["post-135998","post","type-post","status-publish","format-standard","hentry","category-algebra","category-analisis-numerico","category-campos-anillos-y-algebras","category-matematicas","category-resolucion-de-ecuaciones-lineales","category-valladolid","tag-alain-verschoren","tag-emilio-villanueva-novoa","tag-francisco-iribarren-m-araceli-de","tag-hermida-alonso-jose-angel","tag-pascual-jara-Martinez","tag-tomas-sanchez-giralda"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/135998","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=135998"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/135998\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=135998"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=135998"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=135998"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}