Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups
Published on 9. September 2017
VII, 242 pages
978-3-319-61599-8 (ISBN)
Description
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.
More details
Series
Edition
1st ed. 2017
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
VII, 242 p. 5 illus.
ISBN-13
978-3-319-61599-8 (9783319615998)
DOI
10.1007/978-3-319-61599-8
Schweitzer Classification
Other editions
Additional editions
Book
09/2017
1st Edition
Springer
€53.49
Shipment within 10-15 days
Content
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.
