{"id":103611,"date":"2018-03-11T10:26:17","date_gmt":"2018-03-11T10:26:17","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/galois-theory-of-module-fields\/"},"modified":"2018-03-11T10:26:17","modified_gmt":"2018-03-11T10:26:17","slug":"galois-theory-of-module-fields","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/barcelona\/galois-theory-of-module-fields\/","title":{"rendered":"Galois theory of module fields"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Florian Heiderich <\/strong><\/h2>\n<p>Esta tesis se desarrolla en torno a la teor\u00eda de galois.  el desarrollo de una teor\u00eda de galois para ecuaciones diferenciales an\u00e1loga a la de ecuaciones polinomiales fue ya un objetivo de s. Lie en el siglo xix. el primer paso en esta direcci\u00f3n fue el desarrollo de una teor\u00eda de galois para ecuaciones diferenciales lineales, debido a e. Picard y e. Vessiot. b.H. Matzat y m. Van der put crearon una teor\u00eda para ecuaciones diferenciales iterativas lineales en caracter\u00edstica positiva. h. Umemura elabor\u00f3 una teor\u00eda de galois para ecuaciones diferenciales algebraicas en caracter\u00edstica cero.  existen teor\u00edas an\u00e1logas para ecuaciones en diferencias, empezando con una teor\u00eda de galois para ecuaciones en diferencias lineales, hasta la de s. morikawa y h. Umemura para ecuaciones en diferencias algebraicas.  m. Takeuchi, k. Amano y a. Masuoka unificaron las teor\u00edas de galois para ecuaciones diferenciales lineales y para ecuaciones lineales en diferencias usando el lenguaje de m\u00f3dulo \u00e1lgebras.  esta tesis tiene dos objetivos principales. El primero es el desarrollo de una teor\u00eda de galois m\u00e1s general que combine la capacidad de las teor\u00edas de h. umemura y s. Morikawa, que permite tratar extensiones de cuerpos de gran generalidad, con la ventaja de la formulaci\u00f3n de k. Amano y a. Masuoka que unifica estructuras como las derivaciones y los automorfismos. El segundo objetivo es el de eliminar la restricci\u00f3n a cuerpos de caracter\u00edstica cero de las teor\u00edas de h. Umemura y s. Morikawa.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Galois theory of module fields<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Galois theory of module fields <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Florian Heiderich <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 13\/09\/2010<\/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>Teresa Crespo Vicente<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: hiroshi Umemura <\/li>\n<li>bernd heinrich Matzat (vocal)<\/li>\n<li>  (vocal)<\/li>\n<li>  (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Florian Heiderich Esta tesis se desarrolla en torno a la teor\u00eda de galois. el desarrollo de una 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