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Author | : Varlet Blyth |
Publisher | : Clarendon Press |
Total Pages | : 241 |
Release | : 1994 |
Genre | : Language Arts & Disciplines |
ISBN | : 9780198599388 |
Download Ockham Algebras Book in PDF, ePub and Kindle
An Ockham algebra is a natural generalization of a well known and important notion of a boolean algebra. Regarding the latter as a bounded distributive lattice with complementation (a dual automorphism of period 2) by a dual endomorphism that satisfies the de Morgan laws, this seeminglymodest generalization turns out to be extemely wide. The variety of Ockham algebras has infinitely many subvarieties including those of de Morgan algebras, Stone algebras, and Kleene algebras. Folowing pioneering work by Berman in 1977, many papers have appeared in this area oflattice theory towhich several important results in the theory of universal algebra are highly applicable. This is the first unified account of some of this research. Particular emphasis is placed on Priestly's topological duality, which invloves working with ordered sets and order-reversing maps, hereby involvingmany problems of a combinatorial nature. Written with the graduate student in mind, this book provides an ideal overview of this are of increasing interest.
Author | : Thomas Scott Blyth |
Publisher | : |
Total Pages | : 0 |
Release | : 1994 |
Genre | : Ockham algebras |
ISBN | : 9781383031072 |
Download Ockham Algebras Book in PDF, ePub and Kindle
Author | : Ivo G. Rosenberg |
Publisher | : Springer Science & Business Media |
Total Pages | : 565 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 9401706972 |
Download Algebras and Orders Book in PDF, ePub and Kindle
In the summer of 1991 the Department of Mathematics and Statistics of the Universite de Montreal was fortunate to host the NATO Advanced Study Institute "Algebras and Orders" as its 30th Seminaire de mathematiques superieures (SMS), a summer school with a long tradition and well-established reputation. This book contains the contributions of the invited speakers. Universal algebra- which established itself only in the 1930's- grew from traditional algebra (e.g., groups, modules, rings and lattices) and logic (e.g., propositional calculus, model theory and the theory of relations). It started by extending results from these fields but by now it is a well-established and dynamic discipline in its own right. One of the objectives of the ASI was to cover a broad spectrum of topics in this field, and to put in evidence the natural links to, and interactions with, boolean algebra, lattice theory, topology, graphs, relations, automata, theoretical computer science and (partial) orders. The theory of orders is a relatively young and vigorous discipline sharing certain topics as well as many researchers and meetings with universal algebra and lattice theory. W. Taylor surveyed the abstract clone theory which formalizes the process of compos ing operations (i.e., the formation of term operations) of an algebra as a special category with countably many objects, and leading naturally to the interpretation and equivalence of varieties.
Author | : Vladimir Kuchmei |
Publisher | : |
Total Pages | : 99 |
Release | : 2003 |
Genre | : |
ISBN | : 9789985567425 |
Download Affine Completeness of Some Ockham Algebras Book in PDF, ePub and Kindle
Author | : Michiel Hazewinkel |
Publisher | : Springer Science & Business Media |
Total Pages | : 595 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401512884 |
Download Encyclopaedia of Mathematics Book in PDF, ePub and Kindle
This is the first Supplementary volume to Kluwer's highly acclaimed Encyclopaedia of Mathematics. This additional volume contains nearly 600 new entries written by experts and covers developments and topics not included in the already published 10-volume set. These entries have been arranged alphabetically throughout. A detailed index is included in the book. This Supplementary volume enhances the existing 10-volume set. Together, these eleven volumes represent the most authoritative, comprehensive up-to-date Encyclopaedia of Mathematics available.
Author | : Jorge Almeida |
Publisher | : Springer Science & Business Media |
Total Pages | : 325 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 1489926089 |
Download Lattices, Semigroups, and Universal Algebra Book in PDF, ePub and Kindle
This volume contains papers which, for the most part, are based on talks given at an international conference on Lattices, Semigroups, and Universal Algebra that was held in Lisbon, Portugal during the week of June 20-24, 1988. The conference was dedicated to the memory of Professor Antonio Almeida Costa, a Portuguese mathematician who greatly contributed to the development of th algebra in Portugal, on the 10 anniversary of his death. The themes of the conference reflect some of his research interests and those of his students. The purpose of the conference was to gather leading experts in Lattices, Semigroups, and Universal Algebra and to promote a discussion of recent developments and trends in these areas. All three fields have grown rapidly during the last few decades with varying degrees of interaction. Lattice theory and Universal Algebra have historically evolved alongside with a large overlap between the groups of researchers in the two fields. More recently, techniques and ideas of these theories have been used extensively in the theory of semigroups. Conversely, some developments in that area may inspire further developments in Universal Algebra. On the other hand, techniques of semi group theory have naturally been employed in the study of semilattices. Several papers in this volume elaborate on these interactions.
Author | : |
Publisher | : American Mathematical Soc. |
Total Pages | : 262 |
Release | : |
Genre | : Mathematics |
ISBN | : 9780821895887 |
Download Ordered Sets and Lattices II Book in PDF, ePub and Kindle
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 | : L. Szabó |
Publisher | : Elsevier |
Total Pages | : 657 |
Release | : 2016-01-22 |
Genre | : Mathematics |
ISBN | : 1483295400 |
Download Lectures in Universal Algebra Book in PDF, ePub and Kindle
These 34 papers cover topics ranging from various problems on varieties and other classes of algebras including categorical aspects and duality theory to the structure of finite algebras and clones on finite (or infinite) sets.As well as survey articles by invited speakers, the papers contain full proofs of new results not published elsewhere. The volume ends with a list of problems.
Author | : Balder D. ten Cate |
Publisher | : Springer Science & Business Media |
Total Pages | : 292 |
Release | : 2007-09-17 |
Genre | : Philosophy |
ISBN | : 3540751432 |
Download Logic, Language, and Computation Book in PDF, ePub and Kindle
Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book represents the thoroughly refereed post-proceedings of the 6th International Tbilisi Symposium on Logic, Language, and Computation, TbiLLC 2005, held in Batumi, Georgia. The 19 revised full papers presented were carefully reviewed and selected from numerous presentations at the symposium. The papers present current research in all aspects of linguistics, logic and computation.
Author | : Guojun Wang |
Publisher | : World Scientific |
Total Pages | : 724 |
Release | : 2012 |
Genre | : Computers |
ISBN | : 9814401528 |
Download Quantitative Logic and Soft Computing Book in PDF, ePub and Kindle
The QL&SC 2012 is a major symposium for scientists, and practitioners all around the world to present their latest reseaches, results, ideas, developments and applications in such areas as quantitative logic, many-valued logic, fuzzy logic, quantification of software, artificial intelligence, fuzzy sets and systems and soft computing. This invaluable book provides a broad introduction to the fuzzy reasoning and soft computing. It is certain one should not go too far in approximation and optimization, and a certain degree must be kept in mind. This is the essential idea of quantitative logic and soft computing. The explanations in the book are complete to provide the necessary background material needed to go further into the subject and explore the research literature. It is suitable reading for graduate students. It provides a platform for mutual exchanges from top experts and scholars around the world in this field.