On the Galois closure of commutative algebras

Leiden Repository

On the Galois closure of commutative algebras

Title: On the Galois closure of commutative algebras
Author: Gioia, Alberto
Publisher: Mathematical Institute Leiden, Faculty of Science, Leiden University
Issue Date: 2013-09-04
Keywords: Discriminant algebra
Galois closure
Quotient of schemes
Splitting algebra
Universal homeomorphisms
Abstract: In this thesis we prove several properties of the Galois closure of commutative algebras defined by Manjul Bhargava and Matthew Satriano. We also define some related constructions, and study their properties. The properties of these constructions are compared with those of classical constructions in Galois theory of fields. Some examples are computed.
Description: Promotores: H.W. Lenstra, B. Erez, Co-promtor: L. Taelman
With summary in Dutch
Faculty: Faculteit der Wiskunde en Natuurwetenschappen
Citation: Gioia, A., 2013, Doctoral thesis, Leiden University
Handle: http://hdl.handle.net/1887/21633

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application/pdf Summary in French long 351.9Kb View/Open
application/pdf Introduction 351.5Kb View/Open
application/pdf Chapter 1 631.4Kb View/Open
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application/pdf Chapter 4 409.0Kb View/Open
application/pdf Bibliography 231.7Kb View/Open
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application/pdf Acknowledgements_Curriculum Vitae 160.2Kb View/Open
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