![Refinement monoids, equidecomposability types, and Boolean inverse semigroups [electronic resource]](https://image.aladin.co.kr/product/11045/68/cover/331961598x_2.jpg)
| 000 | 00000cam u2200205 a 4500 | |
| 001 | 000045993068 | |
| 005 | 20190807094530 | |
| 006 | m d | |
| 007 | cr | |
| 008 | 190806s2017 sz a ob 001 0 eng d | |
| 020 | ▼a 9783319615981 | |
| 020 | ▼a 9783319615998 (eBook) | |
| 040 | ▼a 211009 ▼c 211009 ▼d 211009 | |
| 050 | 4 | ▼a QA174-183 |
| 082 | 0 4 | ▼a 512/.27 ▼2 23 |
| 084 | ▼a 512.27 ▼2 DDCK | |
| 090 | ▼a 512.27 | |
| 100 | 1 | ▼a Wehrung, F. ▼q (Friedrich), ▼d 1961-. |
| 245 | 1 0 | ▼a Refinement monoids, equidecomposability types, and Boolean inverse semigroups ▼h [electronic resource] / ▼c Friedrich Wehrung. |
| 260 | ▼a Cham : ▼b Springer, ▼c c2017. | |
| 300 | ▼a 1 online resource (vii, 242 p.) : ▼b ill. | |
| 490 | 1 | ▼a Lecture notes in mathematics, ▼x 0075-8434 ; ▼v 2188 |
| 500 | ▼a Title from e-Book title page. | |
| 504 | ▼a Includes bibliographical references and indexes. | |
| 505 | 0 | ▼a Chapter 1. Background -- Chapter 2. Partial commutative monoids. - Chapter 3. Boolean inverse semigroups and additive semigroup homorphisms -- Chapter 4. Type monoids and V-measures. - Chapter 5. Type theory of special classes of Boolean inverse semigroups. - Chapter 6. Constructions involving involutary semirings and rings. - Chapter 7. discussion. - Bibliography -- Author Index. - Glossary -- Index. |
| 520 | ▼a 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. | |
| 530 | ▼a Issued also as a book. | |
| 538 | ▼a Mode of access: World Wide Web. | |
| 650 | 0 | ▼a Mathematics. |
| 650 | 0 | ▼a Semigroups. |
| 830 | 0 | ▼a Lecture notes in mathematics; ▼v 2188. |
| 856 | 4 0 | ▼u https://oca.korea.ac.kr/link.n2s?url=https://doi.org/10.1007/978-3-319-61599-8 |
| 945 | ▼a KLPA | |
| 991 | ▼a E-Book(소장) |
Holdings Information
| No. | Location | Call Number | Accession No. | Availability | Due Date | Make a Reservation | Service |
|---|---|---|---|---|---|---|---|
| No. 1 | Location Main Library/e-Book Collection/ | Call Number CR 512.27 | Accession No. E14016274 | Availability Loan can not(reference room) | Due Date | Make a Reservation | Service |
Contents information
Table of Contents
Chapter 1. Background.- Chapter 2. Partial commutative monoids. - Chapter 3. Boolean inverse semigroups and additive semigroup homorphisms.- Chapter 4. Type monoids and V-measures. - Chapter 5. Type theory of special classes of Boolean inverse semigroups. - Chapter 6. Constructions involving involutary semirings and rings. - Chapter 7. discussion. - Bibliography.- Author Index. - Glossary.- Index.
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