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＜電子ブック＞
Semigroups in Complete Lattices : Quantales, Modules and Related Topics / by Patrik Eklund, Javier Gutiérrez García, Ulrich Höhle, Jari Kortelainen
(Developments in Mathematics. ISSN:2197795X ; 54)

版	1st ed. 2018.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2018
大きさ	XXI, 326 p : online resource
著者標目	*Eklund, Patrik author Gutiérrez García, Javier author Höhle, Ulrich author Kortelainen, Jari author SpringerLink (Online service)
件　名	LCSH:Algebra LCSH:Algebra, Homological LCSH:Machine theory FREE:Order, Lattices, Ordered Algebraic Structures FREE:Category Theory, Homological Algebra FREE:Formal Languages and Automata Theory
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-78948-4

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