Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups - Friedrich Wehrung
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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 ... Full description
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Description
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.
More Information
| Author | Friedrich Wehrung |
|---|---|
| Publisher | Springer Nature Switzerland |
| Series | Lecture Notes in Mathematics |
| Release year | 2017 |
| Cover type | Softcover |
| EAN | 9783319615981 |