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Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups - Friedrich Wehrung

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2017-09-10
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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 ... Visas aprašymas

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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.

Daugiau informacijos

Autorius Friedrich Wehrung
Leidėjas Springer Nature Switzerland
Series Lecture Notes in Mathematics
Išleidimo metai 2017
Viršelio tipas Minkšti viršeliai
EAN 9783319615981
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60,05 € 92,38 €