Ordered Algebraic Structures and Related Topics, Fabrizio Broglia, Francoise Delon, Max Dickmann, Danielle Gondard-Cozette, Victoria Ann Powers

Автор: T.S. Blyth
Название: Lattices and Ordered Algebraic Structures
ISBN: 1849969558 ISBN-13(EAN): 9781849969550
Издательство: Springer
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Цена: 65170.00 T
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Описание: "The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization.

Автор: Stuart A. Steinberg
Название: Lattice-ordered Rings and Modules
ISBN: 1489982973 ISBN-13(EAN): 9781489982971
Издательство: Springer
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Цена: 60510.00 T
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Описание: This book provides an exposition of the algebraic aspects of the theory of lattice-ordered rings and lattice-ordered modules. All of the background material on rings, modules, and lattice-ordered groups necessary to make the work self-contained and accessible to a variety of readers is included. Key topics include: lattice-ordered groups, rings, and fields; Archimedean $l$-groups; f-rings and larger varieties of $l$-rings; the category of f-modules; various commutativity results. This text may be used as a textbook or for self-study by graduate students and researchers studying lattice-ordered rings and lattice-ordered modules.

Автор: Jorge Mart?nez
Название: Ordered Algebraic Structures
ISBN: 9401076154 ISBN-13(EAN): 9789401076159
Издательство: Springer
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Цена: 102480.00 T
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Описание: Proceedings of the Caribbean Mathematics Foundation Conference, held in Curacao, August 1988

Автор: Jorge Mart?nez; W.C. Holland
Название: Ordered Algebraic Structures
ISBN: 0792322584 ISBN-13(EAN): 9780792322580
Издательство: Springer
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Цена: 176970.00 T
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Описание: A selection of papers from the 1991 Conrad Conference, held in Gainesville, Florida. They give an overview of some recent advances in the area of ordered algebraic structures. Topics covered include ordered permutation groups and universal, as well as model-theoretic, aspects.

Автор: W.C. Holland; Jorge Mart?nez
Название: Ordered Algebraic Structures
ISBN: 0792343778 ISBN-13(EAN): 9780792343776
Издательство: Springer
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Цена: 164870.00 T
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Описание: Provides a sampling of advances in ordered algebraic structures, with emphasis on developments in areas where general topology, category theory and model theory play a prominent role. This title is intended for mathematicians with a range of interests, particularly in topology, and the topology of rings of functions.

Автор: Niels Schwartz; James J. Madden
Название: Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings
ISBN: 3540664602 ISBN-13(EAN): 9783540664604
Издательство: Springer
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Цена: 41880.00 T
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Описание: This text lays algebraic foundations for real geometry through a systematic investigation of partially ordered rings of semi-algebraic functions. It also covers topics such as ordered algebraic structures, topology and rings of continuous functions.

Автор: Ivan Rival
Название: Ordered Sets
ISBN: 9400978006 ISBN-13(EAN): 9789400978003
Издательство: Springer
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Цена: 406220.00 T
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Описание: Proceedings of the NATO Advanced Study Institute, Banff, Canada, August 28-September 12, 1981

Автор: Ma Jingjing
Название: Lecture Notes on Algebraic Structure of Lattice-Ordered Ring
ISBN: 9814571423 ISBN-13(EAN): 9789814571425
Издательство: World Scientific Publishing
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Цена: 72870.00 T
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Описание: Algebraic Structure of Lattice-Ordered Rings presents an introduction to the theory of lattice-ordered rings and some new developments in this area in the last 10-15 years. It aims to provide the reader with a good foundation in the subject, as well as some new research ideas and topic in the field.This book may be used as a textbook for graduate and advanced undergraduate students who have completed an abstract algebra course including general topics on group, ring, module, and field. It is also suitable for readers with some background in abstract algebra and are interested in lattice-ordered rings to use as a self-study book.The book is largely self-contained, except in a few places, and contains about 200 exercises to assist the reader to better understand the text and practice some ideas.

Автор: V.M. Kopytov; N.Ya. Medvedev
Название: The Theory of Lattice-Ordered Groups
ISBN: 0792331699 ISBN-13(EAN): 9780792331698
Издательство: Springer
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Цена: 102480.00 T
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Описание: This volume examines both classical and new results of the theory of lattice-ordered groups and explains the structure of the theory as well as indicating its applications. The text contains the foundations of the theory of lattice-ordered groups and the theory of ordered permutation groups.

Автор: SchrГ¶der Bernd
Название: Ordered Sets / An Introduction
ISBN: 0817641289 ISBN-13(EAN): 9780817641283
Издательство: Springer
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Цена: 55850.00 T
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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: Adam Clay, Dale Rolfsen
Название: Ordered Groups and Topology
ISBN: 1470431068 ISBN-13(EAN): 9781470431068
Издательство: Mare Nostrum (Eurospan)
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Цена: 112860.00 T
Наличие на складе: Невозможна поставка.
Описание: This book deals with the connections between topology and ordered groups. It begins with a self-contained introduction to orderable groups and from there explores the interactions between orderability and objects in low-dimensional topology, such as knot theory, braid groups, and 3-manifolds, as well as groups of homeomorphisms and other topological structures. The book also addresses recent applications of orderability in the studies of codimension-one foliations and Heegaard-Floer homology. The use of topological methods in proving algebraic results is another feature of the book.The book was written to serve both as a textbook for graduate students, containing many exercises, and as a reference for researchers in topology, algebra, and dynamical systems. A basic background in group theory and topology is the only prerequisite for the reader.

Автор: Egbert Harzheim
Название: Ordered Sets
ISBN: 1441937048 ISBN-13(EAN): 9781441937049
Издательство: Springer
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Цена: 137850.00 T
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Описание: This detailed textbook presents a great deal of material on ordered sets not previously published in the still rather limited textbook literature. It should be suitable as a text for a course on order theory.