Refinement monoids, equidecomposability types, and Boolean inverse semigroups / Friedrich Wehrung.
2017
QA182
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Details
Title
Refinement monoids, equidecomposability types, and Boolean inverse semigroups / Friedrich Wehrung.
Author
ISBN
9783319615998 (electronic book)
3319615998 (electronic book)
9783319615981
3319615998 (electronic book)
9783319615981
Published
Cham, Switzerland : Springer, 2017.
Language
English
Description
1 online resource (vii, 242 pages) : illustrations.
Item Number
10.1007/978-3-319-61599-8 doi
Call Number
QA182
Dewey Decimal Classification
512/.27
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.
Bibliography, etc. Note
Includes bibliographical references and indexes.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed September 15, 2017).
Series
Lecture notes in mathematics (Springer-Verlag) ; 2188.
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