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Refinement monoids, equidecomposabil...

Wehrung, Friedrich.

Refinement monoids, equidecomposability types, and Boolean inverse semigroups

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Refinement monoids, equidecomposability types, and Boolean inverse semigroups/ by Friedrich Wehrung.
作者:	Wehrung, Friedrich.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	vii, 242 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Semigroups. -
電子資源:	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 ;1943..

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:

527792
Semigroups.

LC Class. No.: QA182

Dewey Class. No.: 512.27

Refinement monoids, equidecomposability types, and Boolean inverse semigroups
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260 $a Cham : $c 2017. $b Springer International Publishing : $b Imprint: Springer,
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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.
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650 1 4 $a Mathematics. $3 527692
650 2 4 $a Group Theory and Generalizations. $3 672112
650 2 4 $a Associative Rings and Algebras. $3 672306
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650 2 4 $a General Algebraic Systems. $3 672227
650 2 4 $a K-Theory. $3 672463
650 2 4 $a Measure and Integration. $3 672015
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