Topological Duality For Distributive Lattices
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Author |
: Mai Gehrke |
Publisher |
: Cambridge University Press |
Total Pages |
: 369 |
Release |
: 2024-02-29 |
ISBN-10 |
: 9781009349697 |
ISBN-13 |
: 1009349694 |
Rating |
: 4/5 (97 Downloads) |
Synopsis Topological Duality for Distributive Lattices by : Mai Gehrke
Introducing Stone-Priestley duality theory and its applications to logic and theoretical computer science, this book equips graduate students and researchers with the theoretical background necessary for reading and understanding current research in the area. After giving a thorough introduction to the algebraic, topological, logical, and categorical aspects of the theory, the book covers two advanced applications in computer science, namely in domain theory and automata theory. These topics are at the forefront of active research seeking to unify semantic methods with more algorithmic topics in finite model theory. Frequent exercises punctuate the text, with hints and references provided.
Author |
: Raymond Balbes |
Publisher |
: Ray Balbes |
Total Pages |
: 320 |
Release |
: 1975 |
ISBN-10 |
: UOM:39015014356821 |
ISBN-13 |
: |
Rating |
: 4/5 (21 Downloads) |
Synopsis Distributive Lattices by : Raymond Balbes
Author |
: George Gratzer |
Publisher |
: Courier Corporation |
Total Pages |
: 242 |
Release |
: 2009-01-01 |
ISBN-10 |
: 9780486471730 |
ISBN-13 |
: 048647173X |
Rating |
: 4/5 (30 Downloads) |
Synopsis Lattice Theory by : George Gratzer
This outstanding text is written in clear language and enhanced with many exercises, diagrams, and proofs. It discusses historical developments and future directions and provides an extensive bibliography and references. 1971 edition.
Author |
: Viktor Viktorovich Zharinov |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 92 |
Release |
: 1985 |
ISBN-10 |
: 0821830880 |
ISBN-13 |
: 9780821830888 |
Rating |
: 4/5 (80 Downloads) |
Synopsis Distributive Lattices and Their Applications in Complex Analysis by : Viktor Viktorovich Zharinov
Algebraic methods have penetrated deeply into contemporary complex analysis, having an essential influence on both the choice of problems and on the methods for solving them. This monograph deals with the applications of distributive lattices of subspaces to problems in multidimensional complex analysis.
Author |
: George Grätzer |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 688 |
Release |
: 2002-11-21 |
ISBN-10 |
: 3764369965 |
ISBN-13 |
: 9783764369965 |
Rating |
: 4/5 (65 Downloads) |
Synopsis General Lattice Theory by : George Grätzer
"Grätzer’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. This is an excellent and engaging second edition that will long remain a standard reference." --MATHEMATICAL REVIEWS
Author |
: Alan Joregon Burger |
Publisher |
: |
Total Pages |
: 144 |
Release |
: 1975 |
ISBN-10 |
: OCLC:6240367 |
ISBN-13 |
: |
Rating |
: 4/5 (67 Downloads) |
Synopsis Contributions to the Topological Representation of Bounded Distributive Lattices by : Alan Joregon Burger
Author |
: G. Gierz |
Publisher |
: Cambridge University Press |
Total Pages |
: 640 |
Release |
: 2003-03-06 |
ISBN-10 |
: 0521803381 |
ISBN-13 |
: 9780521803380 |
Rating |
: 4/5 (81 Downloads) |
Synopsis Continuous Lattices and Domains by : G. Gierz
Table of contents
Author |
: Steven Roman |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 307 |
Release |
: 2008-12-15 |
ISBN-10 |
: 9780387789019 |
ISBN-13 |
: 0387789014 |
Rating |
: 4/5 (19 Downloads) |
Synopsis Lattices and Ordered Sets by : Steven Roman
This book is intended to be a thorough introduction to the subject of order and lattices, with an emphasis on the latter. It can be used for a course at the graduate or advanced undergraduate level or for independent study. Prerequisites are kept to a minimum, but an introductory course in abstract algebra is highly recommended, since many of the examples are drawn from this area. This is a book on pure mathematics: I do not discuss the applications of lattice theory to physics, computer science or other disciplines. 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?FßÐE?FÑ?GßE?ÐF?GÑ and so on? In lattice-theoretic terms, this is the number of elements in the relatively free modular lattice on three generators. Dedekind [15] answered this question (the answer is #)) and wrote two papers on the subject of lattice theory, but then the subject lay relatively dormant until Garrett Birkhoff, Oystein Ore and others picked it up in the 1930s. Since then, many noted mathematicians have contributed to the subject, including Garrett Birkhoff, Richard Dedekind, Israel Gelfand, George Grätzer, Aleksandr Kurosh, Anatoly Malcev, Oystein Ore, Gian-Carlo Rota, Alfred Tarski and Johnny von Neumann.
Author |
: Damon Lucifer Ellingston |
Publisher |
: |
Total Pages |
: 74 |
Release |
: 1990 |
ISBN-10 |
: OCLC:22233911 |
ISBN-13 |
: |
Rating |
: 4/5 (11 Downloads) |
Synopsis Representations in Topology of Distributive Lattices by : Damon Lucifer Ellingston
Author |
: Nikolaos Galatos |
Publisher |
: Springer Nature |
Total Pages |
: 382 |
Release |
: 2021-12-13 |
ISBN-10 |
: 9783030769208 |
ISBN-13 |
: 3030769208 |
Rating |
: 4/5 (08 Downloads) |
Synopsis Hiroakira Ono on Substructural Logics by : Nikolaos Galatos
This volume is dedicated to Hiroakira Ono life’s work on substructural logics. Chapters, written by well-established academics, cover topics related to universal algebra, algebraic logic and the Full Lambek calculus; the book includes a short biography about Hiroakira Ono. The book starts with detailed surveys on universal algebra, abstract algebraic logic, topological dualities, and connections to computer science. It further contains specialised contributions on connections to formal languages (recognizability in residuated lattices and connections to the finite embedding property), covering systems for modal substructural logics, results on the existence and disjunction properties and finally a study of conservativity of expansions. This book will be primarily of interest to researchers working in algebraic and non-classical logic.