Algebraic theory of lattices

Titre : Algebraic theory of lattices
Auteur : Peter Crawley
Éditeur : Prentice Hall
ISBN-13 : UOM:39015040389127
Libération : 1973

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Peter Crawley A été écrit sous une forme ou une autre pendant la plus grande partie de sa vie. Vous pouvez trouver autant d'inspiration de Algebraic theory of lattices Aussi informatif et amusant. Cliquez sur le bouton TÉLÉCHARGER ou Lire en ligne pour obtenir gratuitement le livre de titre $ gratuitement.

Algebraic Theory of Quasivarieties

Titre : Algebraic Theory of Quasivarieties
Auteur : Viktor A. Gorbunov
Éditeur : Springer Science & Business Media
ISBN-13 : 0306110636
Libération : 1998-09-30

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The theory of quasivarieties constitutes an independent direction in algebra and mathematical logic and specializes in a fragment of first-order logic-the so-called universal Horn logic. This treatise uniformly presents the principal directions of the theory from an effective algebraic approach developed by the author himself. A revolutionary exposition, this influential text contains a number of results never before published in book form, featuring in-depth commentary for applications of quasivarieties to graphs, convex geometries, and formal languages. Key features include coverage of the Birkhoff-Mal'tsev problem on the structure of lattices of quasivarieties, helpful exercises, and an extensive list of references.

Theory of Lattice Ordered Groups

Titre : Theory of Lattice Ordered Groups
Auteur : Michael Darnel
Éditeur : CRC Press
ISBN-13 : 0824793269
Libération : 1994-11-15

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Provides a thorough discussion of the orderability of a group. The book details the major developments in the theory of lattice-ordered groups, delineating standard approaches to structural and permutation representations. A radically new presentation of the theory of varieties of lattice-ordered groups is offered.;This work is intended for pure and applied mathematicians and algebraists interested in topics such as group, order, number and lattice theory, universal algebra, and representation theory; and upper-level undergraduate and graduate students in these disciplines.;College or university bookstores may order five or more copies at a special student price which is available from Marcel Dekker Inc, upon request.

Lattice Theory

Titre : Lattice Theory
Auteur : Garrett Birkhoff
Éditeur : American Mathematical Soc.
ISBN-13 : 9780821810255
Libération : 1940-12-31

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Since its original publication in 1940, this book has been revised and modernized several times, most notably in 1948 (second edition) and in 1967 (third edition). The material is organized into four main parts: general notions and concepts of lattice theory (Chapters I-V), universal algebra (Chapters VI-VII), applications of lattice theory to various areas of mathematics (Chapters VIII-XII), and mathematical structures that can be developed using lattices (Chapters XIII-XVII). At the end of the book there is a list of 166 unsolved problems in lattice theory, many of which still remain open. It is excellent reading, and ... the best place to start when one wishes to explore some portion of lattice theory or to appreciate the general flavor of the field. --Bulletin of the AMS

Introduction to Lattices and Order

Titre : Introduction to Lattices and Order
Auteur : B. A. Davey
Éditeur : Cambridge University Press
ISBN-13 : 0521784514
Libération : 2002-04-18

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This new edition of Introduction to Lattices and Order presents a radical reorganization and updating, though its primary aim is unchanged. The explosive development of theoretical computer science in recent years has, in particular, influenced the book's evolution: a fresh treatment of fixpoints testifies to this and Galois connections now feature prominently. An early presentation of concept analysis gives both a concrete foundation for the subsequent theory of complete lattices and a glimpse of a methodology for data analysis that is of commercial value in social science. Classroom experience has led to numerous pedagogical improvements and many new exercises have been added. As before, exposure to elementary abstract algebra and the notation of set theory are the only prerequisites, making the book suitable for advanced undergraduates and beginning graduate students. It will also be a valuable resource for anyone who meets ordered structures.

Continuous Lattices and Domains

Titre : Continuous Lattices and Domains
Auteur : G. Gierz
Éditeur : Cambridge University Press
ISBN-13 : 0521803381
Libération : 2003-03-06

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Information content and programming semantics are just two of the applications of the mathematical concepts of order, continuity and domains. The authors develop the mathematical foundations of partially ordered sets with completeness properties of various degrees, in particular directed complete ordered sets and complete lattices. Uniquely, they focus on partially ordered sets that have an extra order relation, modelling the notion that one element 'finitely approximates' another, something closely related to intrinsic topologies linking order and topology. Extensive use is made of topological ideas, both by defining useful topologies on the structures themselves and by developing close connections with numerous aspects of topology. The theory so developed not only has applications to computer science but also within mathematics to such areas as analysis, the spectral theory of algebras and the theory of computability. This authoritative, comprehensive account of the subject will be essential for all those working in the area.

Universal Algebra and Lattice Theory

Titre : Universal Algebra and Lattice Theory
Auteur : R.S. Freese
Éditeur : Springer
ISBN-13 : 9783540409540
Libération : 2006-11-15

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R.S. Freese A été écrit sous une forme ou une autre pendant la plus grande partie de sa vie. Vous pouvez trouver autant d'inspiration de Universal Algebra and Lattice Theory Aussi informatif et amusant. Cliquez sur le bouton TÉLÉCHARGER ou Lire en ligne pour obtenir gratuitement le livre de titre $ gratuitement.

Lattices and Ordered Algebraic Structures

Titre : Lattices and Ordered Algebraic Structures
Auteur : T.S. Blyth
Éditeur : Springer Science & Business Media
ISBN-13 : 9781846281273
Libération : 2006-03-30

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"The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization. The historical notes that are interspersed are also worth mentioning....The exposition is thorough and all proofs that the reviewer checked were highly polished....Overall, the book is a well-done introduction from a distinct point of view and with exposure to the author’s research expertise." --MATHEMATICAL REVIEWS

Algebraic Theory of Numbers AM 1

Titre : Algebraic Theory of Numbers AM 1
Auteur : Hermann Weyl
Éditeur : Princeton University Press
ISBN-13 : 9781400882809
Libération : 2016-04-21

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In this, one of the first books to appear in English on the theory of numbers, the eminent mathematician Hermann Weyl explores fundamental concepts in arithmetic. The book begins with the definitions and properties of algebraic fields, which are relied upon throughout. The theory of divisibility is then discussed, from an axiomatic viewpoint, rather than by the use of ideals. There follows an introduction to p-adic numbers and their uses, which are so important in modern number theory, and the book culminates with an extensive examination of algebraic number fields. Weyl's own modest hope, that the work "will be of some use," has more than been fulfilled, for the book's clarity, succinctness, and importance rank it as a masterpiece of mathematical exposition.

Universal Algebra and Lattice Theory

Titre : Universal Algebra and Lattice Theory
Auteur : Stephen D. Comer
Éditeur : Springer
ISBN-13 : 9783540396383
Libération : 2006-12-08

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Stephen D. Comer A été écrit sous une forme ou une autre pendant la plus grande partie de sa vie. Vous pouvez trouver autant d'inspiration de Universal Algebra and Lattice Theory Aussi informatif et amusant. Cliquez sur le bouton TÉLÉCHARGER ou Lire en ligne pour obtenir gratuitement le livre de titre $ gratuitement.