Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups
Author:   Friedrich Wehrung
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2017
Volume:   2188
ISBN:  

9783319615981


Pages:   242
Publication Date:   10 September 2017
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups


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Overview

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.

Full Product Details

Author:   Friedrich Wehrung
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2017
Volume:   2188
Weight:   3.869kg
ISBN:  

9783319615981


ISBN 10:   331961598
Pages:   242
Publication Date:   10 September 2017
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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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