| 书目名称 | Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups | | 编辑 | Friedrich Wehrung | | 视频video | | | 概述 | Offers a new, universal algebraic and lattice-theoretical approach.Provides tools for further work, for example on varieties of algebras, but also on operator theory.Includes many examples and counter | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | 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. | | 出版日期 | Book 2017 | | 关键词 | Additive homomorphism; Bias; Boolean; Commutative; Distributive; Equidecomposable; Inverse; Refinement Mono | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-61599-8 | | isbn_softcover | 978-3-319-61598-1 | | isbn_ebook | 978-3-319-61599-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer International Publishing AG 2017 |
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发表于 2025-3-21 16:45:13
