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Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

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...

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Bibliographic Details
Main Author: Wehrung, Friedrich
Format: eBook
Language:English
Published: Cham Springer International Publishing 2017, 2017
Edition:1st ed. 2017
Series:Lecture Notes in Mathematics
Subjects:
Associative Rings And Algebras
General Algebraic Systems
K-theory
Measure Theory
Measure And Integration
Group Theory
Rings (algebra)
Order, Lattices, Ordered Algebraic Structures
Algebra
Associative Rings
Group Theory And Generalizations
Ordered Algebraic Structures
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Description
Summary: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
Physical Description:VII, 242 p. 5 illus online resource
ISBN:9783319615998

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