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Refinement monoids, equidecomposabil...

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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 semigroups/ by 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

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 ;2188..

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

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

609931
Semigroups.

LC Class. No.: QA182

Dewey Class. No.: 512.27

Refinement monoids, equidecomposability types, and Boolean inverse semigroups
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100 1 $a Wehrung, Friedrich. $3 2089098
245 1 0 $a Refinement monoids, equidecomposability types, and Boolean inverse semigroups $h [electronic resource] / $c by Friedrich Wehrung.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a vii, 242 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2188
520 $a 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.
650 0 $a Semigroups. $3 609931
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Group Theory and Generalizations. $3 893889
650 2 4 $a Associative Rings and Algebras. $3 897405
650 2 4 $a Order, Lattices, Ordered Algebraic Structures. $3 896039
650 2 4 $a General Algebraic Systems. $3 897364
650 2 4 $a K-Theory. $3 897432
650 2 4 $a Measure and Integration. $3 891263
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