Overview
- Describes different generalizations of valuations from the common generalized concept of primes in algebras
- Combines the arithmetic of finite dimensional central simple algebras with new theory for infinite dimensional ones
- Mixing methods concerning value functions, valuation filtrations and orders over valuation rings for the study of new classes of algebras, e.g. quantized algebras, Weyl algebras and Hopf algebras
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2059)
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Table of contents (3 chapters)
Keywords
About this book
Authors and Affiliations
Bibliographic Information
Book Title: Prime Divisors and Noncommutative Valuation Theory
Authors: Hidetoshi Marubayashi, Fred Van Oystaeyen
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-31152-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2012
Softcover ISBN: 978-3-642-31151-2Published: 22 August 2012
eBook ISBN: 978-3-642-31152-9Published: 21 August 2012
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: IX, 218
Topics: Algebra, Geometry, Algebraic Geometry, Associative Rings and Algebras