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001 991003560849707536
006 m     o  d        
007 cr cnu|||unuuu
008 181019s2017    sz a    ob    001 0 eng d
020   $a9783319615998$q(electronic bk.)
020   $a3319615998$q(electronic bk.)
024 7 $a10.1007/978-3-319-61599-8$2doi
035   $ab14351936-39ule_inst
040   $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng
084   $aAMS 20-01
084   $aLC QA182
100 1 $aWehrung, Friedrich$0512591
245 10$aRefinement monoids, equidecomposability types, and Boolean inverse semigroups$h[e-book] /$cFriedrich Wehrung
264  1$aCham, Switzerland :$bSpringer,$c2017
300   $a1 online resource (vii, 242 pages) :$billustrations
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
504   $aIncludes bibliographical references and indexes
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   $aAdopting a new universal algebraic approach, this book explores and consolidates the link between Tarski's classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin's work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings. This is done via the study of a monoid invariant, defined on Boolean inverse semigroups, called the type monoid. The new techniques contrast with the currently available topological approaches. Many positive results, but also many counterexamples, are provided
650  0$aSemigroups
776 08$iPrinted edition:$z9783319615981
856 41$uhttps://link.springer.com/book/10.1007/978-3-319-61599-8$zAn electronic book accessible through the World Wide Web
907   $a.b14351936$b03-03-22$c19-10-18
912   $a991003560849707536
920   $aHiram College INTERNET$bOhioLINK E-book Center c.1$cAVAILABLE
996   $aRefinement monoids, equidecomposability types, and Boolean inverse semigroups$91466433
997   $aUNISALENTO
998   $ale013$b19-10-18$cm$d@  $e-$feng$gsz $h0$i0