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Refinement monoids, equidecomposability types, and Boolean inverse semigroups

Record Type:	Electronic resources : Monograph/item
Title/Author:	Refinement monoids, equidecomposability types, and Boolean inverse semigroupsby Friedrich Wehrung.
Author:	Wehrung, Friedrich.
Published:	Cham :Springer International Publishing :2017.
Description:	vii, 242 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Semigroups.
Online resource:	http://dx.doi.org/10.1007/978-3-319-61599-8
ISBN:	9783319615998$q(electronic bk.)

Refinement monoids, equidecomposability types, and Boolean inverse semigroups
Wehrung, Friedrich.

Refinement monoids, equidecomposability types, and Boolean inverse semigroups[electronic resource] /by Friedrich Wehrung. - Cham :Springer International Publishing :2017. - vii, 242 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21880075-8434 ;. - Lecture notes in mathematics ;2035..

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.

ISBN: 9783319615998$q(electronic bk.)

Standard No.: 10.1007/978-3-319-61599-8doiSubjects--Topical Terms:

239334
Semigroups.

LC Class. No.: QA182

Dewey Class. No.: 512.27

Refinement monoids, equidecomposability types, and Boolean inverse semigroups
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