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Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

von Friedrich Wehrung
Softcover - 9783319615981
53,49 €
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Beschreibung

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.

Details

Verlag Springer International Publishing
Ersterscheinung 10. September 2017
Maße 23.5 cm x 15.5 cm
Gewicht 388 Gramm
Format Softcover
ISBN-13 9783319615981
Auflage 1st ed. 2017
Seiten 242

Schlagwörter

Algebra, Algebraische Topologie, Associative Rings and Algebras, General Algebraic Systems, Group Theory and Generalizations, Gruppen und Gruppentheorie, Integralrechnung und -gleichungen, K-Theory, Measure and Integration, Order - Lattices - Ordered Algebraic Structures

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