New Trends in Quantum Structures

AvAnatolij Dvurecenskij,Sylvia Pulmannová

Inbunden, Engelska, 2000

Del i serien Mathematics and Its Applications

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Beskrivning

This monograph deals with 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 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 five and six discuss BCK-algebras with their applications. Chapter seven addresses Loomis-Sikorski-type theorems for MV-algebras and BCK-algebras. Throughout the text facts and concepts are illustrated by exercises.

Produktinformation

Utgivningsdatum:2000-11-30
Mått:155 x 235 x 36 mm
Vikt:996 g
Format:Inbunden
Språk:Engelska
Serie:Mathematics and Its Applications
Antal sidor:542
Upplaga:2000
Förlag:Kluwer Academic Publishers
ISBN:9780792364719

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Recensioner i media

' ...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

Innehållsförteckning

1 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.