Semigroups in Complete Lattices
Quantales, Modules and Related Topics
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Beschreibung
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.
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.
Provides a categorical approach to quantales and applications Develops the theory of modules on unital quantales Includes exercises and bibliographical notes
Autor*in
Patrik Eklund
Themen in »Semigroups in Complete Lattices«
MSC (2010) 06F07, 18C20, 18D15, 46L05 quantales and monoidal categories semi-unital quantales balanced and bisymmetric quantales tensor product of quantales spectrum of non-commutative C*-algebras Frobenius quantales and complete MV-algebras modules on unital quantales quantales and enriched category theory automata and free unital quantales
Stimmen zu »Semigroups in Complete Lattices«
“This monograph is a detailed and extensive investigation of the theory of quantales in different areas of mathematics. … the book is self-contained, well-organized and well-written and is warmly recommended to read.” (Ali Madanshekaf, zbMATH 1491.06001, 2022)
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