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Author : Seng Chye Lee
Publisher :
ISBN 13 :
Total Pages : 122 pages
Book Rating : 4.:/5 (97 download)
Download or read book On the Lattice of Sublattices of a Finite Distributive Lattice written by Seng Chye Lee and published by . This book was released on 1981 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jörg Stephan
Publisher :
ISBN 13 :
Total Pages : 5 pages
Book Rating : 4.:/5 (46 download)
Download or read book On the length of the lattice of sublattices of a finite distributive lattice written by Jörg Stephan and published by . This book was released on 1990 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Chuan Chong Chen
Publisher :
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4.:/5 (422 download)
Download or read book On the Number of Maximal Sublattices of a Finite Distributive Lattice written by Chuan Chong Chen and published by . This book was released on 1975 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas Donnellan
Publisher : Elsevier
ISBN 13 : 1483147495
Total Pages : 297 pages
Book Rating : 4.4/5 (831 download)
Download or read book Lattice Theory written by Thomas Donnellan and published by Elsevier. This book was released on 2014-05-16 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattice Theory presents an elementary account of a significant branch of contemporary mathematics concerning lattice theory. This book discusses the unusual features, which include the presentation and exploitation of partitions of a finite set. Organized into six chapters, this book begins with an overview of the concept of several topics, including sets in general, the relations and operations, the relation of equivalence, and the relation of congruence. This text then defines the relation of partial order and then partially ordered sets, including chains. Other chapters examine the properties of meet and join and explain dimensional considerations. This book discusses as well certain relations between individual elements of a lattice, between subsets of a lattice, and between lattices themselves. The final chapter deals with distributive lattices and explores the complements in distributive lattices. This book is a valuable resource for college and university students of mathematics, logic, and such technologies as communications engineering.
Author : Kira Adaricheva
Publisher : Springer Nature
ISBN 13 : 303098088X
Total Pages : 293 pages
Book Rating : 4.0/5 (39 download)
Download or read book A Primer of Subquasivariety Lattices written by Kira Adaricheva and published by Springer Nature. This book was released on 2022-08-18 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses Birkhoff and Mal'cev's problem of describing subquasivariety lattices. The text begins by developing the basics of atomic theories and implicational theories in languages that may, or may not, contain equality. Subquasivariety lattices are represented as lattices of closed algebraic subsets of a lattice with operators, which yields new restrictions on the equaclosure operator. As an application of this new approach, it is shown that completely distributive lattices with a dually compact least element are subquasivariety lattices. The book contains many examples to illustrate these principles, as well as open problems. Ultimately this new approach gives readers a set of tools to investigate classes of lattices that can be represented as subquasivariety lattices.
Author : Raymond Balbes
Publisher : Ray Balbes
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.3/5 (91 download)
Download or read book Distributive Lattices written by Raymond Balbes and published by Ray Balbes. This book was released on 1975 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Grätzer
Publisher : Springer Science & Business Media
ISBN 13 : 0817644628
Total Pages : 287 pages
Book Rating : 4.8/5 (176 download)
Download or read book The Congruences of a Finite Lattice written by George Grätzer and published by Springer Science & Business Media. This book was released on 2007-05-24 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-contained exposition presents the major results on congruence lattices of finite lattices Includes the latest findings from a pioneering researcher in the field Features the author's signature "Proof-by-Picture" method and its conversion to transparencies Contains complete proofs, an extensive bibliography and index, and nearly 80 open problems Excellent grad text and reference
Author : Khee Meng Koh
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (225 download)
Download or read book On Finite Distributive Lattices Whose Frattini Sublattices are Chains written by Khee Meng Koh and published by . This book was released on 1977 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Khee Meng Koh
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (225 download)
Download or read book New Generators of the Frattini Sublattice of a Finite Distributive Lattice written by Khee Meng Koh and published by . This book was released on 1977 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jacobus Willem Bakker
Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.E/5 ( download)
Download or read book On Convex Sublattices of Distributive Lattices written by Jacobus Willem Bakker and published by . This book was released on 1967 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821895887
Total Pages : 262 pages
Book Rating : 4.8/5 (958 download)
Download or read book Ordered Sets and Lattices II written by and published by American Mathematical Soc.. This book was released on with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This indispensable reference source contains a wealth of information on lattice theory. The book presents a survey of virtually everything published in the fields of partially ordered sets, semilattices, lattices, and Boolean algebras that was reviewed in Referativnyi Zhurnal Matematika from mid-1982 to the end of 1985. A continuation of a previous volume (the English translation of which was published by the AMS in 1989, as volume 141 in Translations - Series 2), this comprehensive work contains more than 2200 references. Many of the papers covered here were originally published in virtually inaccessible places. The compilation of the volume was directed by Milan Kolibiar of Comenius University at Bratislava and Lev A. Skornyakov of Moscow University. Of interest to mathematicians, as well as to philosophers and computer scientists in certain areas, this unique compendium is a must for any mathematical library.
Author : B. A. Davey
Publisher : Cambridge University Press
ISBN 13 : 9780521784511
Total Pages : 316 pages
Book Rating : 4.7/5 (845 download)
Download or read book Introduction to Lattices and Order written by B. A. Davey and published by Cambridge University Press. This book was released on 2002-04-18 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Steven Roman
Publisher : Springer Science & Business Media
ISBN 13 : 0387789014
Total Pages : 307 pages
Book Rating : 4.3/5 (877 download)
Download or read book Lattices and Ordered Sets written by Steven Roman and published by Springer Science & Business Media. This book was released on 2008-12-15 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Peter Jipsen
Publisher : Lecture Notes in Mathematics
ISBN 13 :
Total Pages : 180 pages
Book Rating : 4.E/5 ( download)
Download or read book Varieties of Lattices written by Peter Jipsen and published by Lecture Notes in Mathematics. This book was released on 1992-12-14 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of lattice varieties is a field that has experienced rapid growth in the last 30 years, but many of the interesting and deep results discovered in that period have so far only appeared in research papers. The aim of this monograph is to present the main results about modular and nonmodular varieties, equational bases and the amalgamation property in a uniform way. The first chapter covers preliminaries that make the material accessible to anyone who has had an introductory course in universal algebra. Each subsequent chapter begins with a short historical introduction which sites the original references and then presents the results with complete proofs (in nearly all cases). Numerous diagrams illustrate the beauty of lattice theory and aid in the visualization of many proofs. An extensive index and bibliography also make the monograph a useful reference work.
Author : George Grätzer
Publisher : Springer Science & Business Media
ISBN 13 : 9783764369965
Total Pages : 688 pages
Book Rating : 4.3/5 (699 download)
Download or read book General Lattice Theory written by George Grätzer and published by Springer Science & Business Media. This book was released on 2002-11-21 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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 : George Grätzer
Publisher : Springer
ISBN 13 : 3319064134
Total Pages : 472 pages
Book Rating : 4.3/5 (19 download)
Download or read book Lattice Theory: Special Topics and Applications written by George Grätzer and published by Springer. This book was released on 2014-08-27 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: George Grätzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Grätzer considered updating the second edition to reflect some exciting and deep developments. He soon realized that to lay the foundation, to survey the contemporary field, to pose research problems, would require more than one volume and more than one person. So Lattice Theory: Foundation provided the foundation. Now we complete this project with Lattice Theory: Special Topics and Applications, written by a distinguished group of experts, to cover some of the vast areas not in Foundation. This first volume is divided into three parts. Part I. Topology and Lattices includes two chapters by Klaus Keimel, Jimmie Lawson and Ales Pultr, Jiri Sichler. Part II. Special Classes of Finite Lattices comprises four chapters by Gabor Czedli, George Grätzer and Joseph P. S. Kung. Part III. Congruence Lattices of Infinite Lattices and Beyond includes four chapters by Friedrich Wehrung and George Grätzer.
Author : George Gratzer
Publisher : Courier Corporation
ISBN 13 : 048647173X
Total Pages : 242 pages
Book Rating : 4.4/5 (864 download)
Download or read book Lattice Theory written by George Gratzer and published by Courier Corporation. This book was released on 2009-01-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
