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:

Download or read book Nan Shu Xue Xue Bao written by and published by . This book was released on 1978 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book General Lattice Theory written by G. Grätzer and published by Birkhäuser. This book was released on 2012-12-06 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first half of the nineteenth century, George Boole's attempt to formalize propositional logic led to the concept of Boolean algebras. While investigating the axiomatics of Boolean algebras at the end of the nineteenth century, Charles S. Peirce and Ernst Schröder found it useful to introduce the lattice concept. Independently, Richard Dedekind's research on ideals of algebraic numbers led to the same discov ery. In fact, Dedekind also introduced modularity, a weakened form of distri butivity. Although some of the early results of these mathematicians and of Edward V. Huntington are very elegant and far from trivial, they did not attract the attention of the mathematical community. It was Garrett Birkhoff's work in the mid-thirties that started the general develop ment of lattice theory. In a brilliant series of papers he demonstrated the importance of lattice theory and showed that it provides a unifying framework for hitherto unrelated developments in many mathematical disciplines. Birkhoff himself, Valere Glivenko, Karl Menger, John von Neumann, Oystein Ore, and others had developed enough of this new field for Birkhoff to attempt to "seIl" it to the general mathematical community, which he did with astonishing success in the first edition of his Lattice Theory. The further development of the subject matter can best be followed by com paring the first, second, and third editions of his book (G. Birkhoff [1940], [1948], and [1967]).

Download or read book An Algorithm for Determining illustration of the Symbol Chosen to Stand for the Frattini Sublattice in Finite Distributive Lattices written by Khee Meng Koh and published by . This book was released on 1975 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Tamkang Journal of Mathematics written by and published by . This book was released on 1976 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Annales Universitatis Scientiarum Budapestinensis de Rolando E tv s Nominatae written by Eötvös Loránd Tudományegyetem and published by . This book was released on 1978 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Reviews written by and published by . This book was released on 1998 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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:

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

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:

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:

Download or read book General Lattice Theory written by George A. Gratzer and published by Birkhauser. This book was released on 1998 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this present edition, the work has been significantly updated and expanded. It contains an extensive new bibliography of 530 items and has been supplemented by eight appendices authored by an exceptional group of experts. The first appendix, written by the author, briefly reviews developments in lattice theory, specifically, the major results of the last 20 years and solutions of the problems proposed in the first edition. The other subjects concern distributive lattices and duality (Brian A. Davey and Hilary A. Priestley), continuous geometries (Friedrich Wehrung), projective lattice geometries (Marcus Greferath and Stefan E. Schmidt), varieties (Peter Jipsen and Henry Rose), free lattices (Ralph Freese), formal concept analysis (Bernhard Ganter and Rudolf Wille), and congruence lattices (Thomas Schmidt in collaboration with the author).

Download or read book Singapore National Bibliography written by and published by . This book was released on 1978 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Directory of Selected Scholars and Researchers in ASEAN written by Amnuay Tapingkae and published by . This book was released on 1985 with total page 978 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

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:

Download or read book Lattice Theory Foundation written by George Grätzer and published by Springer Science & Business Media. This book was released on 2011-02-14 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book started with Lattice Theory, First Concepts, in 1971. Then came General Lattice Theory, First Edition, in 1978, and the Second Edition twenty years later. Since the publication of the first edition in 1978, General Lattice Theory has become the authoritative introduction to lattice theory for graduate students and the standard reference for researchers. The First Edition set out to introduce and survey lattice theory. Some 12,000 papers have been published in the field since then; so Lattice Theory: Foundation focuses on introducing the field, laying the foundation for special topics and applications. Lattice Theory: Foundation, based on the previous three books, covers the fundamental concepts and results. The main topics are distributivity, congruences, constructions, modularity and semimodularity, varieties, and free products. The chapter on constructions is new, all the other chapters are revised and expanded versions from the earlier volumes. Almost 40 “diamond sections’’, many written by leading specialists in these fields, provide a brief glimpse into special topics beyond the basics. “Lattice theory has come a long way... For those who appreciate lattice theory, or who are curious about its techniques and intriguing internal problems, Professor Grätzer's lucid new book provides a most valuable guide to many recent developments. Even a cursory reading should provide those few who may still believe that lattice theory is superficial or naive, with convincing evidence of its technical depth and sophistication.” Bulletin of the American Mathematical Society “Grätzer’s book General Lattice Theory has become the lattice theorist’s bible.” Mathematical Reviews