Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

• Main Author: Wehrung, Friedrich (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Lecture Notes in Mathematics, 2188
• Subjects: Mathematics.; Associative rings.; Rings (Algebra).; Algebra.; Group theory.; K-theory.; Ordered algebraic structures.; Measure theory.; Group Theory and Generalizations.; Associative Rings and Algebras.; Order, Lattices, Ordered Algebraic Structures.; General Algebraic Systems.; K-Theory.; Measure and Integration.

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...

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.