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02939nam a22005775i 4500 |
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978-3-319-61599-8 |
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DE-He213 |
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20170909100204.0 |
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cr nn 008mamaa |
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170909s2017 gw | s |||| 0|eng d |
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|a 9783319615998
|9 978-3-319-61599-8
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|a 10.1007/978-3-319-61599-8
|2 doi
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|a MAT002010
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|a 512.2
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|a Wehrung, Friedrich.
|e author.
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|a Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups
|h [electronic resource] /
|c by Friedrich Wehrung.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2017.
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|a VII, 242 p. 5 illus.
|b online resource.
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|a text
|b txt
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|a computer
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|a online resource
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|a text file
|b PDF
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 2188
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|a Chapter 1. Background -- Chapter 2. Partial commutative monoids. - Chapter 3. Boolean inverse semigroups and additive semigroup homorphisms -- Chapter 4. Type monoids and V-measures. - Chapter 5. Type theory of special classes of Boolean inverse semigroups. - Chapter 6. Constructions involving involutary semirings and rings. - Chapter 7. discussion. - Bibliography -- Author Index. - Glossary -- Index.
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|a Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski's classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin's work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings. This is done via the study of a monoid invariant, defined on Boolean inverse semigroups, called the type monoid. The new techniques contrast with the currently available topological approaches. Many positive results, but also many counterexamples, are provided.
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|a Mathematics.
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| 650 |
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|a Associative rings.
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| 650 |
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|a Rings (Algebra).
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| 650 |
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|a Algebra.
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| 650 |
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|a Group theory.
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| 650 |
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|a K-theory.
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| 650 |
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|a Ordered algebraic structures.
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| 650 |
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|a Measure theory.
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|a Mathematics.
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|a Group Theory and Generalizations.
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| 650 |
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|a Associative Rings and Algebras.
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| 650 |
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|a Order, Lattices, Ordered Algebraic Structures.
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| 650 |
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|a General Algebraic Systems.
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| 650 |
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|a K-Theory.
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| 650 |
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|a Measure and Integration.
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| 710 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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| 776 |
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|i Printed edition:
|z 9783319615981
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| 830 |
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 2188
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| 856 |
4 |
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|u http://dx.doi.org/10.1007/978-3-319-61599-8
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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| 912 |
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|a ZDB-2-LNM
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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