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Value Functions on Simple Algebras, and Associated Graded Rings - Couverture rigide
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Synopsis
This monograph is the first book-length treatment of valuation theory on finite-dimensional division algebras, a subject of active and substantial research over the last forty years. Its development was spurred in the last decades of the twentieth century by important advances such as Amitsur's construction of non crossed products and Platonov's solution of the Tannaka-Artin problem.
This study is particularly timely because it approaches the subject from the perspective of associated graded structures. This new approach has been developed by the authors in the last few years and has significantly clarified the theory. Various constructions of division algebras are obtained as applications of the theory, such as noncrossed products and indecomposable algebras. In addition, the use of valuation theory in reduced Whitehead group calculations (after Hazrat and Wadsworth) and in essential dimension computations (after Baek and Merkurjev) is showcased.
The intended audience consists of graduate students and research mathematicians.
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Value Functions on Simple Algebras, and Associated Graded Rings (eng)
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Value Functions on Simple Algebras, and Associated Graded Rings
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Springer International Publishing Apr 2015, 2015
ISBN 10 : 3319163590
ISBN 13 : 9783319163598
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph is the first book-length treatment of valuation theory on finite-dimensional division algebras, a subject of active and substantial research over the last forty years. Its development was spurred in the last decades of the twentieth century by important advances such as Amitsur's construction of non crossed products and Platonov's solution of the Tannaka-Artin problem.This study is particularly timely because it approaches the subject from the perspective of associated graded structures. This new approach has been developed by the authors in the last few years and has significantly clarified the theory. Various constructions of division algebras are obtained as applications of the theory, such as noncrossed products and indecomposable algebras. In addition, the use of valuation theory in reduced Whitehead group calculations (after Hazrat and Wadsworth) and in essential dimension computations (after Baek and Merkurjev) is showcased.The intended audience consists of graduate students and research mathematicians. 660 pp. Englisch. N° de réf. du vendeur 9783319163598
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Value Functions on Simple Algebras, and Associated Graded Rings
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Value Functions on Simple Algebras, and Associated Graded Rings
Edité par
Springer International Publishing, 2015
ISBN 10 : 3319163590
ISBN 13 : 9783319163598
Neuf
Couverture rigide
Vendeur : moluna, Greven, Allemagne
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Provides the first comprehensive treatment of valuation theory for finite-dimensional division algebrasShowcases an innovative new approach to valuation theory via associated graded structuresIncludes various division algebra constructions . N° de réf. du vendeur 24541330
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Value Functions on Simple Algebras, and Associated Graded Rings
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Springer, Palgrave Macmillan Apr 2015, 2015
ISBN 10 : 3319163590
ISBN 13 : 9783319163598
Neuf
Couverture rigide
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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This monograph is the first book-length treatment of valuation theory on finite-dimensional division algebras, a subject of active and substantial research over the last forty years. Its development was spurred in the last decades of the twentieth century by important advances such as Amitsur's construction of non crossed products and Platonov's solution of the Tannaka-Artin problem.This study is particularly timely because it approaches the subject from the perspective of associated graded structures. This new approach has been developed by the authors in the last few years and has significantly clarified the theory. Various constructions of division algebras are obtained as applications of the theory, such as noncrossed products and indecomposable algebras. In addition, the use of valuation theory in reduced Whitehead group calculations (after Hazrat and Wadsworth) and in essential dimension computations (after Baek and Merkurjev) is showcased. The intended audience consists of graduate students and research mathematicians.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 660 pp. Englisch. N° de réf. du vendeur 9783319163598
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Value Functions on Simple Algebras, and Associated Graded Rings
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This monograph is the first book-length treatment of valuation theory on finite-dimensional division algebras, a subject of active and substantial research over the last forty years. Its development was spurred in the last decades of the twentieth century by important advances such as Amitsur's construction of non crossed products and Platonov's solution of the Tannaka-Artin problem.This study is particularly timely because it approaches the subject from the perspective of associated graded structures. This new approach has been developed by the authors in the last few years and has significantly clarified the theory. Various constructions of division algebras are obtained as applications of the theory, such as noncrossed products and indecomposable algebras. In addition, the use of valuation theory in reduced Whitehead group calculations (after Hazrat and Wadsworth) and in essential dimension computations (after Baek and Merkurjev) is showcased.The intended audience consists of graduate students and research mathematicians. N° de réf. du vendeur 9783319163598
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Value Functions on Simple Algebras, and Associated Graded Rings (Springer Monographs in Mathematics)
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Value Functions on Simple Algebras, and Associated Graded Rings (Springer Monographs in Mathematics)
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Value Functions on Simple Algebras, and Associated Graded Rings
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Value Functions on Simple Algebras, and Associated Graded Rings (Springer Monographs in Mathematics)
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