Refinement Monoids, Equidecomposabi - E-book

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Refinement Monoids, Equidecomposability Types, And Boolean Inverse Semigroups - ENG

Friedrich Wehrung

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Sinopsis

ISBN:	9783319615998
Formato:	ePub
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Álgebra abstracta
Año de publicación:	2017-09-09

Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarskis classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertins 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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