{"id":34929,"date":"1998-01-01T00:00:00","date_gmt":"1998-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/categorias-de-modulos-para-anillos-asociativos-y-equivalencias-de-morita\/"},"modified":"1998-01-01T00:00:00","modified_gmt":"1998-01-01T00:00:00","slug":"categorias-de-modulos-para-anillos-asociativos-y-equivalencias-de-morita","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/categorias-de-modulos-para-anillos-asociativos-y-equivalencias-de-morita\/","title":{"rendered":"Categorias de modulos para anillos asociativos y equiValencias de morita."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Leandro Marin Mu\u00f1oz <\/strong><\/h2>\n<p>En esta memoria se realiza un estudio de anillos asociativos (sin identidad) y de categor\u00edas de m\u00f3dulos asociadas a ellos. Concretamente, dado un anillo asociativo r, se estudian las categor\u00edas cmod-r formada por los r-m\u00f3dulos por la derecha m tales que son isomorfos de forma can\u00f3nica al r-m\u00f3dulo de homomorfismos entre r y m y la categor\u00eda dmod-r formada por los r-m\u00f3dulos por la derecha m tales que m es isomorfo de forma can\u00f3nica al producto tensorial de m por r. Tambi\u00e9n se estudian las correspondientes categor\u00edas de m\u00f3dulos por la izquierda que se denotan por r-cmod y r-dmod.  utilizando t\u00e9cnicas est\u00e1ndar de categor\u00edas cocientes se estudia cmod-r, pero para dmod-r se desarrollan t\u00e9cnicas espec\u00edficas.  dados dos anillos r y s, se estudian los funtores entre r-dmod y s-dmod que se pueden describir mediante un producto tensorial y se obtienen versiones generales de los teoremas de morita relacionando las equiValencias entre las categor\u00edas r-dmod y s-dmod con las equiValencias entre cmod-r y cmod-s y sim\u00e9tricamente, las equiValencias entre dmod-r y dmod-s con las equiValencias entre r-cmod y s-cmod.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Categorias de modulos para anillos asociativos y equiValencias de morita.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Categorias de modulos para anillos asociativos y equiValencias de morita. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Leandro Marin Mu\u00f1oz <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Murcia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/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> Garcia Hernandez Jos\u00e9 Luis<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Gomez Pardo Jos\u00e9 Luis <\/li>\n<li>Blas Torrecillas Jover (vocal)<\/li>\n<li>Nieves Rodriguez Gonzalez (vocal)<\/li>\n<li>Pere Ara Bertran (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Leandro Marin Mu\u00f1oz En esta memoria se realiza un estudio de anillos asociativos (sin identidad) y de [&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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