{"id":80831,"date":"1999-05-10T00:00:00","date_gmt":"1999-05-10T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/presentacion-de-modulos-teorema-de-estabilidad-de-suslin-en-zx\/"},"modified":"1999-05-10T00:00:00","modified_gmt":"1999-05-10T00:00:00","slug":"presentacion-de-modulos-teorema-de-estabilidad-de-suslin-en-zx","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/presentacion-de-modulos-teorema-de-estabilidad-de-suslin-en-zx\/","title":{"rendered":"Presentacion de modulos. teorema de estabilidad de suslin en z[x]."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Gago Vargas Manuel Jes\u00fas <\/strong><\/h2>\n<p>La comparaci\u00f3n de m\u00f3dulos finitamente generados sobre anillos de polinomios es un problema de gran dificultad no resuelto. Salvo el caso de los anillos de polinomios en una variable con coeficientes en un cuerpo, donde tenemos la forma normal de smith, poco podemos decir a la hora de establecer el car\u00e1cter isomorfo de dos m\u00f3dulos definidos por sus matrices de presentaci\u00f3n.  este problema tiene inter\u00e9s algebraico por s\u00ed mismo, pero tambi\u00e9n viene motivado por la aparici\u00f3n en topolog\u00eda algebraica de m\u00f3dulos asociados a objetos, con la condici\u00f3n de que los objetos equivalentes en esa categor\u00eda general m\u00f3dulos isomorfos sobre ciertos anillos. Empezamos recordando el ejemplo cl\u00e1sico de teor\u00eda de nudos, y el uso que se le da a los denominados ideales elementales.  un resultado que se remonta a fitting establece  una condici\u00f3n necesaria y suficiente para que dos matrices presenten el mismo m\u00f3dulo, basada en las transformaciones elementales. De esta forma tenemos una manera simple de probar el car\u00e1cter invariante de entidades asociaciadas a los m\u00f3dulos. lo aplicamos para la descomposici\u00f3n primaria can\u00f3nica que se deduce del teorema de ortiz.  resulta pues interesante estudiar la acci\u00f3n de las denominadas matrices elementales sobre una matriz dada. En esta l\u00ednea, damos una demostraci\u00f3n constructiva del teorema de estabilidad de suslin para z[x]\/(px), con p e z un n\u00famero primo. Esto nos permite diferenciar  ciertos modulos sobre z[x].<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Presentacion de modulos. teorema de estabilidad de suslin en z[x].<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Presentacion de modulos. teorema de estabilidad de suslin en z[x]. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Gago Vargas Manuel Jes\u00fas <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 05\/10\/1999<\/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>Francisco Jes\u00fas Castro Jim\u00e9nez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jos\u00e9 Luis Vicente c\u00f3rdoba <\/li>\n<li>Antonio Campillo l\u00f3pez (vocal)<\/li>\n<li>Luis Narv\u00e1ez macarro (vocal)<\/li>\n<li>santos Gonzalez jimenez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Gago Vargas Manuel Jes\u00fas La comparaci\u00f3n de m\u00f3dulos finitamente generados sobre anillos de polinomios es un problema [&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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