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Heyting Algebras: Duality Theory, Esakia Leo, Bezhanishvili Guram, Holliday Wesley H.


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Автор: Esakia Leo, Bezhanishvili Guram, Holliday Wesley H.
Название:  Heyting Algebras: Duality Theory
ISBN: 9783030120986
Издательство: Springer
Классификация:




ISBN-10: 3030120988
Обложка/Формат: Paperback
Страницы: 95
Вес: 0.17 кг.
Дата издания: 14.08.2020
Серия: Trends in logic
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 420 illustrations, black and white; xv, 95 p. 420 illus.
Размер: 23.39 x 15.60 x 0.58 cm
Читательская аудитория: Professional & vocational
Подзаголовок: Duality theory
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book presents an English translation of a classic Russian text on duality theoryfor Heyting algebras.


Kac Algebras and Duality of Locally Compact Groups

Автор: Michel Enock; A. Connes; A. Ocneanu; Jean-Marie Sc
Название: Kac Algebras and Duality of Locally Compact Groups
ISBN: 3540547452 ISBN-13(EAN): 9783540547457
Издательство: Springer
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Цена: 18161.00 р.
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Описание: Develops the category of Kac algebras that answers the original duality problem. This book is of interest to researchers working in quantum groups, particularly those interested in the approach by Lie groups and Lie algebras or by non-commutative geometry, and more generally also to those working in C* algebras or theoretical physics.

Duality Theories for Boolean Algebras with Operators

Автор: Steven Givant
Название: Duality Theories for Boolean Algebras with Operators
ISBN: 3319350269 ISBN-13(EAN): 9783319350264
Издательство: Springer
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Цена: 11878.00 р.
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Описание: In this new text, Steven Givant-the author of several acclaimed books, including works co-authored with Paul Halmos and Alfred Tarski-develops three theories of duality for Boolean algebras with operators.

Duality Theories for Boolean Algebras with Operators

Автор: Steven Givant
Название: Duality Theories for Boolean Algebras with Operators
ISBN: 3319067427 ISBN-13(EAN): 9783319067421
Издательство: Springer
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Цена: 13974.00 р.
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Описание: In this new text, Steven Givant-the author of several acclaimed books, including works co-authored with Paul Halmos and Alfred Tarski-develops three theories of duality for Boolean algebras with operators.

Kac Algebras and Duality of Locally Compact Groups

Автор: Michel Enock; A. Connes; A. Ocneanu; Jean-Marie Sc
Название: Kac Algebras and Duality of Locally Compact Groups
ISBN: 3642081282 ISBN-13(EAN): 9783642081286
Издательство: Springer
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Цена: 18161.00 р.
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Описание: This book deals with the theory of Kac algebras and their dual- ity, elaborated independently by M. Enock and J . -M. Schwartz, and by G. . Kac and L. . Vajnermann in the seventies. The sub- ject has now reached a state of maturity which fully justifies the publication of this book. Also, in recent times, the topic of "quantum groups" has become very fashionable and attracted the attention of more and more mathematicians and theoret- ical physicists. One is still missing a good characterization of quantum groups among Hopf algebras, similar to the character- ization of Lie groups among locally compact groups. It is thus extremely valuable to develop the general theory, as this book does, with emphasis on the analytical aspects of the subject instead of the purely algebraic ones. The original motivation of M. Enock and J. -M. Schwartz can be formulated as follows: while in the Pontrjagin duality theory of locally compact abelian groups a perfect symmetry exists between a group and its dual, this is no longer true in the various duality theorems of T. Tannaka, M. G. Krein, W. F. Stinespring . . . dealing with non abelian locally compact groups. The aim is then, in the line proposed by G. . Kac in 1961 and M. Takesaki in 1972, to find a good category of Hopf algebras, containing the category of locally compact groups and fulfilling a perfect duality.

Heyting Algebras

Автор: Leo Esakia; Guram Bezhanishvili; Wesley H. Hollida
Название: Heyting Algebras
ISBN: 3030120953 ISBN-13(EAN): 9783030120955
Издательство: Springer
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Цена: 7965.00 р.
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Описание: This book presents an English translation of a classic Russian text on duality theoryfor Heyting algebras. Written by Georgian mathematician Leo Esakia, the text provedpopular among Russian-speaking logicians. This translation helps make the ideasaccessible to a wider audience and pays tribute to an influential mind in mathematicallogic. The book discusses the theory of Heyting algebras and closure algebras, aswell as the corresponding intuitionistic and modal logics. The author introduces thekey notion of a hybrid that “crossbreeds” topology (Stone spaces) and order (Kripkeframes), resulting in the structures now known as Esakia spaces. The main theoremsinclude a duality between the categories of closure algebras and of hybrids, and a dualitybetween the categories of Heyting algebras and of so-called strict hybrids.Esakia’s book was originally published in 1985. It was the first of a planned two-volume monographon Heyting algebras. But after the collapse of the Soviet Union, the publishing houseclosed and the project died with it. Fortunately, this important work now lives on inthis accessible translation. The Appendix of the book discusses the planned contentsof the lost second volume.

Farey Sequences: Duality and Maps Between Subsequences

Автор: Andrey O. Matveev
Название: Farey Sequences: Duality and Maps Between Subsequences
ISBN: 3110546620 ISBN-13(EAN): 9783110546620
Издательство: Walter de Gruyter
Цена: 18586.00 р.
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Описание:

As a first comprehensive overview on Farey sequences and subsequences, this monograph is intended as a reference for anyone looking for specific material or formulas related to the subject. Duality of subsequences and maps between them are discussed and explicit proofs are shown in detail.

From the Content
Basic structural and enumerative properties of Farey sequences, Collective decision making, Committee methods in pattern recognition, Farey duality, Farey sequence, Fundamental Farey subsequences, Monotone bijections between Farey subsequences

Leo Esakia on Duality in Modal and Intuitionistic Logics

Автор: Guram Bezhanishvili
Название: Leo Esakia on Duality in Modal and Intuitionistic Logics
ISBN: 9401788596 ISBN-13(EAN): 9789401788595
Издательство: Springer
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Цена: 20962.00 р.
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Описание: Leo Esakia on Duality in Modal and Intuitionistic Logics

Leo Esakia on Duality in Modal and Intuitionistic Logics

Автор: Guram Bezhanishvili
Название: Leo Esakia on Duality in Modal and Intuitionistic Logics
ISBN: 9402403388 ISBN-13(EAN): 9789402403381
Издательство: Springer
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Цена: 20962.00 р.
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Описание:

This volume is dedicated to Leo Esakia's contributions to the theory of modal and intuitionistic systems. Consisting of 10 chapters, written by leading experts, this volume discusses Esakia's original contributions and consequent developments that have helped to shape duality theory for modal and intuitionistic logics and to utilize it to obtain some major results in the area.

Beginning with a chapter which explores Esakia duality for S4-algebras, the volume goes on to explore Esakia duality for Heyting algebras and its generalizations to weak Heyting algebras and implicative semilattices. The book also dives into the Blok-Esakia theorem and provides an outline of the intuitionistic modal logic KM which is closely related to the G del-L b provability logic GL. One chapter scrutinizes Esakia's work interpreting modal diamond as the derivative of a topological space within the setting of point-free topology. The final chapter in the volume is dedicated to the derivational semantics of modal logic and other related issues.

Interpolation Functors and Duality

Автор: Sten G. Kaijser; Joan w. Pelletier
Название: Interpolation Functors and Duality
ISBN: 3540167900 ISBN-13(EAN): 9783540167907
Издательство: Springer
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Цена: 3492.00 р.
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Theory of Duality in Mathematical Programming

Автор: Manfred Walk
Название: Theory of Duality in Mathematical Programming
ISBN: 3211820574 ISBN-13(EAN): 9783211820575
Издательство: Springer
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Цена: 7685.00 р.
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Описание: Courses on mathematical programming are now part of standard teaching programs of universities and institutes. The aim of this book is to introduce students of mathematics, economics, technology and other related subjects to the qualitative theory of mathematical programming in paired vector spaces.

Vector Optimization and Monotone Operators via Convex Duality

Автор: Sorin-Mihai Grad
Название: Vector Optimization and Monotone Operators via Convex Duality
ISBN: 3319361902 ISBN-13(EAN): 9783319361901
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed.

Rings with Morita Duality

Автор: Weimin Xue
Название: Rings with Morita Duality
ISBN: 3540557709 ISBN-13(EAN): 9783540557708
Издательство: Springer
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Цена: 3487.00 р.
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Описание: This monograph examines associative rings that possess Morita dualities or self-dualities. It gives an extensive introduction to this class of rings, covering Artinian rings, ring extensions and Azumaya's rings. Among the results presented are a characterization of duality via linear compactness.


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