Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups: 2188 (Lecture Notes in Mathematics) - Softcover

Wehrung, Friedrich

 
9783319615981: Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups: 2188 (Lecture Notes in Mathematics)
Softcover
ISBN 10: 331961598X ISBN 13: 9783319615981
Verlag: Springer, 2017

Inhaltsangabe

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.

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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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2017
Sprache
Englisch
ISBN 10 
331961598X
ISBN 13 
9783319615981
Einband
Tapa blanda
Auflage
1
Anzahl der Seiten
252
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
CMN Printpool Inh. Mathis Neumann
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Friedrich-Karl-Str. 9
Hamburg
Deutschland

Weitere beliebte Ausgaben desselben Titels

9783319616001: Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

Vorgestellte Ausgabe

ISBN 10:  3319616005 ISBN 13:  9783319616001
Verlag: Springer, 2017
Softcover