{"id":74865,"date":"2018-03-09T23:19:56","date_gmt":"2018-03-09T23:19:56","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/on-maximal-left-quotient-systems-and-leavitt-path-algebras\/"},"modified":"2018-03-09T23:19:56","modified_gmt":"2018-03-09T23:19:56","slug":"on-maximal-left-quotient-systems-and-leavitt-path-algebras","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/on-maximal-left-quotient-systems-and-leavitt-path-algebras\/","title":{"rendered":"On maximal left quotient systems and leavitt path algebras"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Gonzalo Aranda Pino <\/strong><\/h2>\n<p>La mayor parte de la tesis puede entenderse como un desarrollo de la teor\u00eda de sistemas de cocientes de ciertos tipos de objetos algebraicos asociativos y no necasariamente conmutativos o con elemento unidad.As\u00ed , el primer objetivo es construir sistemas de cocientes en varios contextos donde la ausencia de ellos era evidente y (adem\u00e1s del claro inter\u00e9s que contar con adecuadas nociones de estructuras de cocientes en nuevas situaciones tiene por s\u00ed mismo)como consecuencia , ser capaces de obtener nuevos avances en el conocimiento de ciertos sistemas mediante esta teor\u00eda de cocientes.  como nuevas construciones logramos una satisfactoria \u00e1lgebra de cocientes porla izquierda graduada maximal junto con nociones de par asociativo de cocientes por la izquierda maximal (en una situaci\u00f3n m\u00e1s general que la previamente considerada por m.G\u00f3mez lozano y m.Siles molina)y de sistema triple de cocientes por la izquierda maximal.  entre las aplicaciones de los sistemas de cocientes por la izquierda maximales mostramos algunos resultados sobre morita-invariabilidad (mediante anillos c\u00f3rner)y un teorema tipo johnson para cierta clase de \u00e1lgebra graduadas por z.  el \u00faltimo cap\u00edtulo de esta tesis est\u00e1 dedicado a \u00e1lgebras de caminos de leavitt sobre grafos.Estas \u00e1lgebras incluyen algunas de las que hab\u00edan estado apareciendo en nuestras disertaciones previas.En particular incluyen las \u00e1lgebras de polinomios de laurent k(x,y-1) , que son (en nuestra opini\u00f3n )el ejemplo m\u00e1s simple donde difieren las nociones de \u00e1lgebra de cocientes por la izquierda graduada maximal y \u00e1lgebra de cocientes por la izquierda maximal (sin graduaci\u00f3n).Nuestra tarea consiste en encontrar condiciones te\u00f3ricas sobre un grafo,necesarias y suficientes , de forma que las \u00e1lgebras de caminos de leavitt correspondientes.  consideradas como anillos , tengan una cierta propiedad.Concretamente , conseguimos hacer esta para la simpmlicidad y el car\u00e1cter puramente i<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>On maximal left quotient systems and leavitt path algebras<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 On maximal left quotient systems and leavitt path algebras <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Gonzalo Aranda Pino <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 M\u00e1laga<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 22\/06\/2005<\/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>Mercedes Siles Molina<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: c\u00e1ndido Mart\u00edn gonz\u00e1lez <\/li>\n<li>matej Bresar (vocal)<\/li>\n<li>david Abrams gene (vocal)<\/li>\n<li>enrique Pardo espino (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Gonzalo Aranda Pino La mayor parte de la tesis puede entenderse como un desarrollo de la teor\u00eda [&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":[2809,4335,7834,126],"tags":[46517,162022,96384,162021,139954,43192],"class_list":["post-74865","post","type-post","status-publish","format-standard","hentry","category-algebra","category-campos-anillos-y-algebras","category-malaga","category-matematicas","tag-candido-martin-gonzalez","tag-david-abrams-gene","tag-enrique-pardo-espino","tag-gonzalo-aranda-pino","tag-matej-bresar","tag-mercedes-siles-molina"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/74865","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=74865"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/74865\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=74865"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=74865"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=74865"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}