Contributions To The Topological Representation Of Bounded Distributive Lattices PDF Download
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Author | : Alan Joregon Burger |
Publisher | : |
Total Pages | : 144 |
Release | : 1975 |
Genre | : Lattice theory |
ISBN | : |
Download Contributions to the Topological Representation of Bounded Distributive Lattices Book in PDF, ePub and Kindle
Author | : András P. Huhn |
Publisher | : North Holland |
Total Pages | : 792 |
Release | : 1983 |
Genre | : Mathematics |
ISBN | : |
Download Contributions to Lattice Theory Book in PDF, ePub and Kindle
Author | : Steven Roman |
Publisher | : Springer Science & Business Media |
Total Pages | : 307 |
Release | : 2008-12-15 |
Genre | : Mathematics |
ISBN | : 0387789014 |
Download Lattices and Ordered Sets Book in PDF, ePub and Kindle
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 | : András P. Huhn |
Publisher | : Elsevier Science & Technology |
Total Pages | : 792 |
Release | : 1983 |
Genre | : Lattice theory |
ISBN | : |
Download Contributions to Lattice Theory Book in PDF, ePub and Kindle
Author | : Damon Lucifer Ellingston |
Publisher | : |
Total Pages | : 74 |
Release | : 1990 |
Genre | : Lattices, Distributive |
ISBN | : |
Download Representations in Topology of Distributive Lattices Book in PDF, ePub and Kindle
Author | : Henry Forrest Bunch |
Publisher | : |
Total Pages | : 144 |
Release | : 1981 |
Genre | : Topology |
ISBN | : |
Download Representations of Distributive Topological Lattices of Finite Breadth Book in PDF, ePub and Kindle
Author | : Mai Gehrke |
Publisher | : Cambridge University Press |
Total Pages | : 369 |
Release | : 2024-02-29 |
Genre | : Computers |
ISBN | : 1009349694 |
Download Topological Duality for Distributive Lattices Book in PDF, ePub and Kindle
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 | : Viktor Viktorovich Zharinov |
Publisher | : American Mathematical Soc. |
Total Pages | : 92 |
Release | : 1985 |
Genre | : Mathematics |
ISBN | : 9780821830888 |
Download Distributive Lattices and Their Applications in Complex Analysis Book in PDF, ePub and Kindle
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 | : Raymond Balbes |
Publisher | : Ray Balbes |
Total Pages | : 320 |
Release | : 1975 |
Genre | : Mathematics |
ISBN | : |
Download Distributive Lattices Book in PDF, ePub and Kindle
Author | : Mai Gehrke |
Publisher | : Cambridge University Press |
Total Pages | : 370 |
Release | : 2024-02-29 |
Genre | : Computers |
ISBN | : 1009349716 |
Download Topological Duality for Distributive Lattices Book in PDF, ePub and Kindle
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.