Semigroups in Complete Lattices Quantales, Modules and Related Topics

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...

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Bibliographic Details
Main Authors: Eklund, Patrik, Gutiérrez García, Javier (Author), Höhle, Ulrich (Author), Kortelainen, Jari (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2018, 2018
Edition:1st ed. 2018
Series:Developments in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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505 0 |a Introduction -- 1 Foundations -- 2 Fundamentals of Quantales -- 3 Module Theory in Sup -- Appendix -- References -- Index 
653 |a Mathematical Logic and Formal Languages 
653 |a Homological algebra 
653 |a Mathematical logic 
653 |a Order, Lattices, Ordered Algebraic Structures 
653 |a Algebra 
653 |a Category Theory, Homological Algebra 
653 |a Ordered algebraic structures 
653 |a Category theory (Mathematics) 
700 1 |a Gutiérrez García, Javier  |e [author] 
700 1 |a Höhle, Ulrich  |e [author] 
700 1 |a Kortelainen, Jari  |e [author] 
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520 |a 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