Friedrich Wehrung
Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups
Paperback Engels 2017 9783319615981Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9783319615981
Taal:Engels
Bindwijze:paperback
Uitgever:Springer International Publishing
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Inhoudsopgave
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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