LEADER 03402nam 22006135 450 001 9910300124603321 005 20200703094532.0 010 $a3-319-78948-1 024 7 $a10.1007/978-3-319-78948-4 035 $a(CKB)4100000004834511 035 $a(DE-He213)978-3-319-78948-4 035 $a(MiAaPQ)EBC5426700 035 $a(PPN)22949367X 035 $a(EXLCZ)994100000004834511 100 $a20180609d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSemigroups in Complete Lattices $eQuantales, Modules and Related Topics /$fby Patrik Eklund, Javier Gutie?rrez Garci?a, Ulrich Höhle, Jari Kortelainen 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (XXI, 326 p.) 225 1 $aDevelopments in Mathematics,$x1389-2177 ;$v54 311 $a3-319-78947-3 327 $aIntroduction -- 1 Foundations -- 2 Fundamentals of Quantales -- 3 Module Theory in Sup -- Appendix -- References -- Index. 330 $aThis monograph provides a modern introduction to the theory of quantales. First coined by C.J. Mulvey in 1986, quantales have since developed into a significant topic at the crossroads of algebra and logic, of notable interest to theoretical computer science. This book recasts the subject within the powerful framework of categorical algebra, showcasing its versatility through applications to C*- and MV-algebras, fuzzy sets and automata. With exercises and historical remarks at the end of each chapter, this self-contained book provides readers with a valuable source of references and hints for future research. This book will appeal to researchers across mathematics and computer science with an interest in category theory, lattice theory, and many-valued logic. 410 0$aDevelopments in Mathematics,$x1389-2177 ;$v54 606 $aAlgebra 606 $aOrdered algebraic structures 606 $aCategory theory (Mathematics) 606 $aHomological algebra 606 $aMathematical logic 606 $aOrder, Lattices, Ordered Algebraic Structures$3https://scigraph.springernature.com/ontologies/product-market-codes/M11124 606 $aCategory Theory, Homological Algebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11035 606 $aMathematical Logic and Formal Languages$3https://scigraph.springernature.com/ontologies/product-market-codes/I16048 615 0$aAlgebra. 615 0$aOrdered algebraic structures. 615 0$aCategory theory (Mathematics). 615 0$aHomological algebra. 615 0$aMathematical logic. 615 14$aOrder, Lattices, Ordered Algebraic Structures. 615 24$aCategory Theory, Homological Algebra. 615 24$aMathematical Logic and Formal Languages. 676 $a511.33 700 $aEklund$b Patrik$4aut$4http://id.loc.gov/vocabulary/relators/aut$0452943 702 $aGutie?rrez Garci?a$b Javier$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aHöhle$b Ulrich$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aKortelainen$b Jari$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910300124603321 996 $aSemigroups in Complete Lattices$92240083 997 $aUNINA