000 -LEADER |
fixed length control field |
03593nam a22006255i 4500 |
001 - CONTROL NUMBER |
control field |
978-3-319-61599-8 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20210120150112.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
fixed length control field |
cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
170909s2017 gw | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783319615998 |
-- |
978-3-319-61599-8 |
024 7# - OTHER STANDARD IDENTIFIER |
Standard number or code |
10.1007/978-3-319-61599-8 |
Source of number or code |
doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA174-183 |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
PBG |
Source |
bicssc |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
MAT002010 |
Source |
bisacsh |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
PBG |
Source |
thema |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512.2 |
Edition number |
23 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Wehrung, Friedrich. |
Relator term |
author. |
Relator code |
aut |
-- |
http://id.loc.gov/vocabulary/relators/aut |
245 10 - TITLE STATEMENT |
Title |
Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups |
Medium |
[electronic resource] / |
Statement of responsibility, etc. |
by Friedrich Wehrung. |
250 ## - EDITION STATEMENT |
Edition statement |
1st ed. 2017. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Place of production, publication, distribution, manufacture |
Cham : |
Name of producer, publisher, distributor, manufacturer |
Springer International Publishing : |
-- |
Imprint: Springer, |
Date of production, publication, distribution, manufacture, or copyright notice |
2017. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
VII, 242 p. 5 illus. |
Other physical details |
online resource. |
336 ## - CONTENT TYPE |
Content type term |
text |
Content type code |
txt |
Source |
rdacontent |
337 ## - MEDIA TYPE |
Media type term |
computer |
Media type code |
c |
Source |
rdamedia |
338 ## - CARRIER TYPE |
Carrier type term |
online resource |
Carrier type code |
cr |
Source |
rdacarrier |
347 ## - DIGITAL FILE CHARACTERISTICS |
File type |
text file |
Encoding format |
PDF |
Source |
rda |
490 1# - SERIES STATEMENT |
Series statement |
Lecture Notes in Mathematics, |
International Standard Serial Number |
0075-8434 ; |
Volume/sequential designation |
2188 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
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 ## - SUMMARY, ETC. |
Summary, etc. |
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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Group theory. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Associative rings. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Rings (Algebra). |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Algebra. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Ordered algebraic structures. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
K-theory. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Measure theory. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Group Theory and Generalizations. |
Authority record control number |
https://scigraph.springernature.com/ontologies/product-market-codes/M11078 |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Associative Rings and Algebras. |
Authority record control number |
https://scigraph.springernature.com/ontologies/product-market-codes/M11027 |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Order, Lattices, Ordered Algebraic Structures. |
Authority record control number |
https://scigraph.springernature.com/ontologies/product-market-codes/M11124 |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
General Algebraic Systems. |
Authority record control number |
https://scigraph.springernature.com/ontologies/product-market-codes/M1106X |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
K-Theory. |
Authority record control number |
https://scigraph.springernature.com/ontologies/product-market-codes/M11086 |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Measure and Integration. |
Authority record control number |
https://scigraph.springernature.com/ontologies/product-market-codes/M12120 |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer Nature eBook |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Relationship information |
Printed edition: |
International Standard Book Number |
9783319615981 |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Relationship information |
Printed edition: |
International Standard Book Number |
9783319616001 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
Uniform title |
Lecture Notes in Mathematics, |
International Standard Serial Number |
0075-8434 ; |
Volume number/sequential designation |
2188 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
<a href="https://doi.org/10.1007/978-3-319-61599-8">https://doi.org/10.1007/978-3-319-61599-8</a> |
912 ## - |
-- |
ZDB-2-SMA |
912 ## - |
-- |
ZDB-2-SXMS |
912 ## - |
-- |
ZDB-2-LNM |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
E-BOOKS |