000 03350nam a22005655i 4500
001 978-3-319-61599-8
003 DE-He213
005 20181204134417.0
007 cr nn 008mamaa
008 170909s2017 gw | s |||| 0|eng d
020 _a9783319615998
_9978-3-319-61599-8
024 7 _a10.1007/978-3-319-61599-8
_2doi
040 _aISI Library, Kolkata
050 4 _aQA174-183
072 7 _aPBG
_2bicssc
072 7 _aMAT002010
_2bisacsh
072 7 _aPBG
_2thema
082 0 4 _a512.2
_223
100 1 _aWehrung, Friedrich.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aRefinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups
_h[electronic resource] /
_cby Friedrich Wehrung.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aVII, 242 p. 5 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2188
505 0 _aChapter 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 _aAdopting 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 _aGroup theory.
650 0 _aAlgebra.
650 0 _aK-theory.
650 0 _aMathematics.
650 1 4 _aGroup Theory and Generalizations.
_0http://scigraph.springernature.com/things/product-market-codes/M11078
650 2 4 _aAssociative Rings and Algebras.
_0http://scigraph.springernature.com/things/product-market-codes/M11027
650 2 4 _aOrder, Lattices, Ordered Algebraic Structures.
_0http://scigraph.springernature.com/things/product-market-codes/M11124
650 2 4 _aGeneral Algebraic Systems.
_0http://scigraph.springernature.com/things/product-market-codes/M1106X
650 2 4 _aK-Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M11086
650 2 4 _aMeasure and Integration.
_0http://scigraph.springernature.com/things/product-market-codes/M12120
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319615981
776 0 8 _iPrinted edition:
_z9783319616001
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2188
856 4 0 _uhttps://doi.org/10.1007/978-3-319-61599-8
912 _aZDB-2-SMA
912 _aZDB-2-LNM
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c427011
_d427011