Authors:
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)
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Front Matter
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Back Matter
About this book
Authors and Affiliations
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Faculty of Science and Engineering, Tokushima Bunri University, Sanuki City, Kagawa, Japan
Hidetoshi Marubayashi
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Mathematics and Computer Science, University of Antwerp, Antwerp, Belgium
Fred Van Oystaeyen
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