The Theory of Lattice-Ordered Groups, V.M. Kopytov; N.Ya. Medvedev

Автор: SchrГ¶der Bernd
Название: Ordered Sets / An Introduction
ISBN: 0817641289 ISBN-13(EAN): 9780817641283
Издательство: Springer
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Описание: This work is an introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions, and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new classes of ordered sets. A wide range of material is presented, from classical results such as Dilworth's, Szpilrajn's and Hashimoto's Theorems to more recent results such as the Li--Milner Structure Theorem. Major topics covered include: chains and antichains, lowest upper and greatest lower bounds, retractions, lattices, the dimension of ordered sets, interval orders, lexicographic sums, products, enumeration, algorithmic approaches and the role of algebraic topology. Since there are few prerequisites, the text can be used as a focused follow-up or companion to a first proof (set theory and relations) or graph theory class. After working through a comparatively lean core, the reader can choose from a diverse range of topics such as structure theory, enumeration or algorithmic aspects. Also presented are some key topics less customary to discrete mathematics/graph theory, including a concise introduction to homology for graphs, and the presentation of forward checking as a more efficient alternative to the standard backtracking algorithm. The coverage throughout provides a solid foundation upon which research can be started by a mathematically mature reader. Rich in exercises, illustrations, and open problems, Ordered Sets: An Introduction is an excellent text for undergraduate and graduate students and a good resource for the interested researcher. Readers will discover order theory's role in discrete mathematics as a supplier of ideas as well as an attractive source of applications.

Автор: G. Gierz
Название: Continuous Lattices and Domains
ISBN: 0521803381 ISBN-13(EAN): 9780521803380
Издательство: Cambridge Academ
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Описание: Information content and programming semantics are just two of the applications of the mathematical concepts of order, continuity and domains. This authoritative and comprehensive account of the subject will be an essential handbook for all those working in the area.

Автор: George Gr?tzer; B.A. Davey; R. Freese; B. Ganter;
Название: General Lattice Theory
ISBN: 3764369965 ISBN-13(EAN): 9783764369965
Издательство: Springer
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Описание: "Gratzer`s `General Lattice Theory` has become the lattice theorist`s bible. Now we have the second edition, in which the old testament is augmented by a new testament. The new testament gospel is provided by leading and acknowledged experts in their fields.

Автор: George Gr?tzer; Friedrich Wehrung
Название: Lattice Theory: Special Topics and Applications
ISBN: 3319064126 ISBN-13(EAN): 9783319064123
Издательство: Springer
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Цена: 13275.00 р.
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Описание: George Gratzer`s Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). Congruence Lattices of Infinite Lattices and Beyond includes four chapters by Friedrich Wehrung and George Gratzer.

Автор: Borwein
Название: Lattice Sums Then and Now
ISBN: 1107039908 ISBN-13(EAN): 9781107039902
Издательство: Cambridge Academ
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Описание: For over a century lattice sums have been studied by mathematicians and scientists in diverse areas of science, in some cases unwittingly duplicating previous work. Here, at last, is a comprehensive overview of the substantial body of knowledge that now exists on lattice sums and their applications.

Автор: Yang Xu; Da Ruan; Keyun Qin; Jun Liu
Название: Lattice-Valued Logic
ISBN: 3642072798 ISBN-13(EAN): 9783642072796
Издательство: Springer
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Цена: 26120.00 р.
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Описание: The book provides the suitable theoretical logical background of lattice-valued logic systems and supports newly designed intelligent uncertain-information-processing systems and a wide spectrum of intelligent learning tasks.

Автор: L.N. Shevrin; A.J. Ovsyannikov
Название: Semigroups and Their Subsemigroup Lattices
ISBN: 9048147492 ISBN-13(EAN): 9789048147496
Издательство: Springer
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Цена: 19564.00 р.
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Описание: (In certain cases, such as that of semigroups, in order to have the right always to say that SubA is a lattice, we have to treat the empty set as a subsystem.) The study of various inter-relationships between systems and their subsystem lattices is a rather large field of investigation developed over many years.

Автор: Ivan Rival
Название: Ordered Sets
ISBN: 9400978006 ISBN-13(EAN): 9789400978003
Издательство: Springer
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Цена: 60933.00 р.
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Описание: Proceedings of the NATO Advanced Study Institute, Banff, Canada, August 28-September 12, 1981