03402nam 22006135 450 991030012460332120200703094532.03-319-78948-110.1007/978-3-319-78948-4(CKB)4100000004834511(DE-He213)978-3-319-78948-4(MiAaPQ)EBC5426700(PPN)22949367X(EXLCZ)99410000000483451120180609d2018 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierSemigroups in Complete Lattices Quantales, Modules and Related Topics /by Patrik Eklund, Javier Gutiérrez García, Ulrich Höhle, Jari Kortelainen1st ed. 2018.Cham :Springer International Publishing :Imprint: Springer,2018.1 online resource (XXI, 326 p.) Developments in Mathematics,1389-2177 ;543-319-78947-3 Introduction -- 1 Foundations -- 2 Fundamentals of Quantales -- 3 Module Theory in Sup -- Appendix -- References -- Index.This 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.Developments in Mathematics,1389-2177 ;54AlgebraOrdered algebraic structuresCategory theory (Mathematics)Homological algebraMathematical logicOrder, Lattices, Ordered Algebraic Structureshttps://scigraph.springernature.com/ontologies/product-market-codes/M11124Category Theory, Homological Algebrahttps://scigraph.springernature.com/ontologies/product-market-codes/M11035Mathematical Logic and Formal Languageshttps://scigraph.springernature.com/ontologies/product-market-codes/I16048Algebra.Ordered algebraic structures.Category theory (Mathematics).Homological algebra.Mathematical logic.Order, Lattices, Ordered Algebraic Structures.Category Theory, Homological Algebra.Mathematical Logic and Formal Languages.511.33Eklund Patrikauthttp://id.loc.gov/vocabulary/relators/aut452943Gutiérrez García Javierauthttp://id.loc.gov/vocabulary/relators/autHöhle Ulrichauthttp://id.loc.gov/vocabulary/relators/autKortelainen Jariauthttp://id.loc.gov/vocabulary/relators/autBOOK9910300124603321Semigroups in Complete Lattices2240083UNINA