Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups (Paperback, 1st ed. 2017)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Lecture Notes in Mathematics, 2188
Release date:	September 2017
First published:	2017
Authors:	Friedrich Wehrung
Dimensions:	235 x 155 x 16mm (L x W x T)
Format:	Paperback
Pages:	242
Edition:	1st ed. 2017
ISBN-13:	978-3-319-61598-1
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
LSN:	3-319-61598-X
Barcode:	9783319615981

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