Автор: T.S. Blyth Название: Lattices and Ordered Algebraic Structures ISBN: 1849969558 ISBN-13(EAN): 9781849969550 Издательство: Springer Рейтинг: Цена: 9776.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Steven Roman Название: Lattices and Ordered Sets ISBN: 1441927042 ISBN-13(EAN): 9781441927040 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Lattice theory began in the early 1890s, when Richard Dedekind wanted to know the answer to the following question: Given three subgroups EF , and G of an abelian group K, what is the largest number of distinct subgroups that can be formed using these subgroups and the operations of intersection and sum (join), as in E?FssDE?FN?GssE?DF?GN and so on?
Автор: Jorge Mart?nez Название: Ordered Algebraic Structures ISBN: 0792304896 ISBN-13(EAN): 9780792304890 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of the Caribbean Mathematics Foundation Conference, held in Curacao, August 1988
Автор: SchrГ¶der Bernd Название: Ordered Sets / An Introduction ISBN: 0817641289 ISBN-13(EAN): 9780817641283 Издательство: Springer Рейтинг: Цена: 8378.00 р. Наличие на складе: Поставка под заказ.
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: Stuart A. Steinberg Название: Lattice-ordered Rings and Modules ISBN: 1489982973 ISBN-13(EAN): 9781489982971 Издательство: Springer Рейтинг: Цена: 9077.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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; W.C. Holland Название: Ordered Algebraic Structures ISBN: 0792322584 ISBN-13(EAN): 9780792322580 Издательство: Springer Рейтинг: Цена: 26546.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 24730.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: de Jeu Название: Ordered Structures and Applications ISBN: 3319278401 ISBN-13(EAN): 9783319278407 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents the proceedings of Positivity VII, held from 22-26 July 2013, in Leiden, the Netherlands. Positivity is the mathematical field concerned with ordered structures and their applications in the broadest sense of the word. A biyearly series of conferences is devoted to presenting the latest developments in this lively and growing discipline. The lectures at the conference covered a broad spectrum of topics, ranging from order-theoretic approaches to stochastic processes, positive solutions of evolution equations and positive operators on vector lattices, to order structures in the context of algebras of operators on Hilbert spaces. The contributions in the book reflect this variety and appeal to university researchers in functional analysis, operator theory, measure and integration theory and operator algebras.Positivity VII was also the Zaanen Centennial Conference to mark the 100th birth year of Adriaan Cornelis Zaanen, who held the chair of Analysis in Leiden for more than 25 years and was one of the leaders in the field during his lifetime.
Автор: Ma Jingjing Название: Lecture Notes on Algebraic Structure of Lattice-Ordered Ring ISBN: 9814571423 ISBN-13(EAN): 9789814571425 Издательство: World Scientific Publishing Рейтинг: Цена: 10930.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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: V.M. Kopytov; N.Ya. Medvedev Название: Right-Ordered Groups ISBN: 0306110601 ISBN-13(EAN): 9780306110603 Издательство: Springer Рейтинг: Цена: 27944.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The notion of right-ordered groups is fundamental in theories of I-groups, ordered groups, torsion-free groups, and the theory of zero-divisors free rings, as well as in theoretical physics. Right-Ordered Groups is the first book to provide a systematic presentation of right-ordered group theory, describing all known and new results in the field. The volume addresses topics such as right-ordered groups and order permutation groups, the system of convex subgroups of a right-ordered group, and free products of right-ordered groups.
Описание: Presents an exposition of connections between representations of finite partially ordered sets and abelian groups. This title emphasises on classification, a description of the objects up to isomorphism, and computation of representation type, a measure of when classification is feasible.
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