New trends in quantum structures /
This 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 chapt...
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht :
Springer,
2000.
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| Series: | Mathematics and its applications (Springer Science+Business Media) ;
516. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | This 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. |
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| Item Description: | Originally published: Dordrecht; London: Kluwer Academic, 2000. Electronic resource. |
| Physical Description: | 1 online resource (xvi, 541 pages) |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9789401724227 (electronic bk.) 9401724229 (electronic bk.) |