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You searched for +publisher:"Universidade Estadual de Campinas" +contributor:("Milies, Franscisco Cesar Polcino"). One record found.

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Universidade Estadual de Campinas

1. Bagio, Dirceu. Sobre a existencia de elemento primitivo para extensões separaveis de aneis comutativos.

Degree: 2004, Universidade Estadual de Campinas

Abstract: One of the classic theorems of the Galois theory of fields is the ¿Primitive Element Theorem¿. In Galois theory of commutative rings, such a theorem does not hold, in general. In this work we give necessary and sufficient conditions for the existence of a primitive element in an strongly separable extension of a connected commutative ring. Furthermore we present a weak form of the Primitive Element Theorem and we prove that this theorem holds for strongly separable extensions of connected commutative rings whose quotient by its Jacobson radical is a von Neumann regular and locally uniform ring. We also obtain some new results about the separable closure of a connected commutative ring. In particular, we describe a relation between the separable closure of such a ring and the separable closure of each one of its residual fields Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Paques, Antonio, 1946- (advisor), Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica (institution), Programa de Pós-Graduação em Matemática (nameofprogram), Brumatti, Paulo Roberto (committee member), Milies, Franscisco Cesar Polcino (committee member), Ferrero, Miguel Angel Alberto (committee member).

Subjects/Keywords: Galois, Teoria de; Polinômios

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Bagio, D. (2004). Sobre a existencia de elemento primitivo para extensões separaveis de aneis comutativos. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/306233

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Bagio, Dirceu. “Sobre a existencia de elemento primitivo para extensões separaveis de aneis comutativos.” 2004. Thesis, Universidade Estadual de Campinas. Accessed December 04, 2020. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306233.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Bagio, Dirceu. “Sobre a existencia de elemento primitivo para extensões separaveis de aneis comutativos.” 2004. Web. 04 Dec 2020.

Vancouver:

Bagio D. Sobre a existencia de elemento primitivo para extensões separaveis de aneis comutativos. [Internet] [Thesis]. Universidade Estadual de Campinas; 2004. [cited 2020 Dec 04]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306233.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Bagio D. Sobre a existencia de elemento primitivo para extensões separaveis de aneis comutativos. [Thesis]. Universidade Estadual de Campinas; 2004. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306233

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

.