Prime Divisors and Noncommutative Valuation Theory

• Κύριοι συγγραφείς: Marubayashi, Hidetoshi (Συγγραφέας), Van Oystaeyen, Fred (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
• Σειρά: Lecture Notes in Mathematics, 2059
• Θέματα: Mathematics.; Algebra.; Algebraic geometry.; Associative rings.; Rings (Algebra).; Geometry.; Algebraic Geometry.; Associative Rings and Algebras.

Classical valuation theory has applications in number theory and class field theory as well as in algebraic geometry, e.g. in a divisor theory for curves.  But the noncommutative equivalent is mainly applied to finite dimensional skewfields.  Recently however, new types of algebras have become popul...

Πίνακας περιεχομένων:

• 1. General Theory of Primes
• 2. Maximal Orders and Primes
• 3. Extensions of Valuations to some Quantized Algebras.