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.
| ISBN: | 9783319615981 |
| Publication date: | 10th September 2017 |
| Author: | Friedrich Wehrung |
| Publisher: | Springer an imprint of Springer International Publishing |
| Format: | Paperback |
| Pagination: | 242 pages |
| Series: | Lecture Notes in Mathematics |
| Genres: |
Groups and group theory Integral calculus and equations Algebraic topology Algebra |
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.
Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups features in the following genres: Groups and group theory, Integral calculus and equations, Algebraic topology, Algebra
Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups is available in Paperback
Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups was written by Friedrich Wehrung and published by Springer an imprint of Springer International Publishing
Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups has 242 pages
Yes it is part of Lecture Notes in Mathematics series