株式会社極東書店トップ ＞ 商品一覧 ＞ Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups. 1st ed. 2017.
商品詳細
Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups. 1st ed. 2017.
・ISBN 978-3-319-61598-1 paper EUR 49.99
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| 著者・編者 | Wehrung, Friedrich, |
|---|---|
| シリーズ | Lecture Notes in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2017 |
| ページ数 | 242 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-16432＞ |
解説
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.