Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups - Friedrich Wehrung
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Toimitus 12-18 arkipäivässä
30 päivän palautusoikeus
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 ... Täydellinen kuvaus
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Kuvaus
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.
Lisätietoja
| Kirjoittaja | Friedrich Wehrung |
|---|---|
| Julkaisija | Springer Nature Switzerland |
| Series | Lecture Notes in Mathematics |
| Julkaisuvuosi | 2017 |
| Kannen tyyppi | Pehmeäkantinen |
| EAN | 9783319615981 |