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OverviewThis monograph deals with the latest results concerning different types of quantum structures. This is an interdisciplinary realm joining mathematics, logic and fuzzy reasoning with mathematical foundations of quantum mechanics, and the book covers many applications. The book consists of seven chapters. The first four chapters are devoted to difference posets and effect algebras; MV-algebras and quantum MV-algebras, and their quotients; and to tensor product of difference posets. Chapters 5 and 6 discuss BCK-algebras with their applications. Chapter 7 addresses Loomis-Sikorski-type theorems for MV-algebras and BCK-algebras. Throughout the book, important facts and concepts are illustrated by exercises. Audience: This book will be of interest to mathematicians, physicists, logicians, philosophers, quantum computer experts, and students interested in mathematical foundations of quantum mechanics as well as in non-commutative measure theory, orthomodular lattices, MV-algebras, effect algebras, Hilbert space quantum mechanics, and fuzzy set theory. Full Product DetailsAuthor: Anatolij Dvurecenskij , Sylvia PulmannováPublisher: Springer Imprint: Springer Edition: Softcover reprint of hardcover 1st ed. 2000 Volume: 516 Dimensions: Width: 15.50cm , Height: 2.80cm , Length: 23.50cm Weight: 0.848kg ISBN: 9789048155255ISBN 10: 9048155258 Pages: 542 Publication Date: 15 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of Contents1 D-posets and Effect Algebras.- 2 MV-algebras and QMV-algebras.- 3 Quotients of Partial Abelian Monoids.- 4 Tensor Product of D-Posets and Effect Algebras.- 5 BCK-algebras.- 6 BCK-algebras in Applications.- 7 Loomis-Sikorski Theorems for MV-algebras and BCK-algebras.- Index of Symbols.Reviews' ...impressive monograph...presents some of the newest trends in the mathematical theory of structures arising in quantum mechanics. The book is well written, with special attention paid to mathematical accuracy. The book will be useful for mathematicians, but also for physicists and logicians, as well as for the reader interested in fuzzy set theory and quantum computing. Throughout the text important facts and concepts are illustrated by exercises.' Mathematical Reviews, 2002 ' ...impressive monograph...presents some of the newest trends in the mathematical theory of structures arising in quantum mechanics. The book is well written, with special attention paid to mathematical accuracy. The book will be useful for mathematicians, but also for physicists and logicians, as well as for the reader interested in fuzzy set theory and quantum computing. Throughout the text important facts and concepts are illustrated by exercises.' Mathematical Reviews, 2002 Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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