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portada Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups (Lecture Notes in Mathematics)
Type
Physical Book
Publisher
Year
2017
Language
English
Pages
242
Format
Paperback
ISBN13
9783319615981
Edition No.
1
Categories

Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups (Lecture Notes in Mathematics)

Friedrich Wehrung (Author) · Springer · Paperback

Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups (Lecture Notes in Mathematics) - Friedrich Wehrung

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Synopsis "Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups (Lecture Notes in Mathematics) "

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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