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Author : Karl Heinrich Hofmann,Klaus Keimel
Publisher : American Mathematical Soc.
Page : 129 pages
File Size : 42,9 Mb
Release : 1972
Category : Categories (Mathematics).
ISBN : 9780821818220
Author : Ivan Rival
Publisher : Springer Science & Business Media
Page : 963 pages
File Size : 53,5 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9789400977983
This volume contains all twenty-three of the principal survey papers presented at the Symposium on Ordered Sets held at Banff, Canada from August 28 to September 12, 1981. The Symposium was supported by grants from the NATO Advanced Study Institute programme, the Natural Sciences and Engineering Research Council of Canada, the Canadian Mathematical Society Summer Research Institute programme, and the University of Calgary. tve are very grateful to these Organizations for their considerable interest and support. Over forty years ago on April 15, 1938 the first Symposium on Lattice Theory was held in Charlottesville, U.S.A. in conjunction with a meeting of the American Mathematical Society. The principal addresses on that occasion were Lattices and their applications by G. Birkhoff, On the application of structure theory to groups by O. Ore, and The representation of Boolean algebras by M. H. Stone. The texts of these addresses and three others by R. Baer, H. M. MacNeille, and K. Menger appear in the Bulletin of the American Mathematical Society, Volume 44, 1938. In those days the theory of ordered sets, and especially lattice theory was described as a "vigorous and promising younger brother of group theory." Some early workers hoped that lattice theoretic methods would lead to solutions of important problems in group theory.
Author : G. Gierz,K. H. Hofmann,K. Keimel,J. D. Lawson,M. Mislove,D. S. Scott
Publisher : Springer Science & Business Media
Page : 390 pages
File Size : 45,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642676789
A mathematics book with six authors is perhaps a rare enough occurrence to make a reader ask how such a collaboration came about. We begin, therefore, with a few words on how we were brought to the subject over a ten-year period, during part of which time we did not all know each other. We do not intend to write here the history of continuous lattices but rather to explain our own personal involvement. History in a more proper sense is provided by the bibliography and the notes following the sections of the book, as well as by many remarks in the text. A coherent discussion of the content and motivation of the whole study is reserved for the introduction. In October of 1969 Dana Scott was lead by problems of semantics for computer languages to consider more closely partially ordered structures of function spaces. The idea of using partial orderings to correspond to spaces of partially defined functions and functionals had appeared several times earlier in recursive function theory; however, there had not been very sustained interest in structures of continuous functionals. These were the ones Scott saw that he needed. His first insight was to see that - in more modern terminology - the category of algebraic lattices and the (so-called) Scott-continuous functions is cartesian closed.
Author : M. Pouzet,D. Richard
Publisher : Elsevier
Page : 547 pages
File Size : 52,5 Mb
Release : 1984-01-01
Category : Mathematics
ISBN : 0080872107
Orders: Description and Roles
Author : Peter T. Johnstone
Publisher : Cambridge University Press
Page : 398 pages
File Size : 50,8 Mb
Release : 1982
Category : Mathematics
ISBN : 0521337798
A unified treatment of the corpus of mathematics that has developed out of M. H. Stone's representation theorem for Boolean algebras (1936) which has applications in almost every area of modern mathematics.
Author : Andrea Sorbi
Publisher : CRC Press
Page : 380 pages
File Size : 51,8 Mb
Release : 2019-05-07
Category : Mathematics
ISBN : 9781482269758
"Integrates two classical approaches to computability. Offers detailed coverage of recent research at the interface of logic, computability theory, nd theoretical computer science. Presents new, never-before-published results and provides informtion not easily accessible in the literature."
Author : Karl H. Hofmann
Publisher : Springer
Page : 323 pages
File Size : 54,7 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540370819
Author : Max Dickmann,Niels Schwartz,Marcus Tressl
Publisher : Cambridge University Press
Page : 652 pages
File Size : 40,9 Mb
Release : 2019-03-21
Category : Mathematics
ISBN : 9781107146723
Offers a comprehensive presentation of spectral spaces focussing on their topology and close connections with algebra, ordered structures, and logic.
Author : K.H. Hofmann,M. Mislove,A. Stralka
Publisher : Springer
Page : 139 pages
File Size : 47,7 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540377412
Author : W. B. Powell
Publisher : CRC Press
Page : 220 pages
File Size : 43,8 Mb
Release : 1985-10-01
Category : Mathematics
ISBN : 082477342X
The papers contained in this volume constitute the proceedings of the Special Session on Ordered Algebraic Structures which was held at the 1982 annual meeting of the American Mathematical Society in Cincinnati, Ohio. The Special Session and this volume honor Paul Conrad, whose work on the subject is noted for its depth and originality. These papers address many areas within the subject of ordered algebraic structures, including varieties, free algebras, lattice ordered groups, subgroups of ordered groups, semigroups, ordered rings, and topological properties of these structures.
Author : Karl Heinrich Hofmann,John R. Liukkonen
Publisher : American Mathematical Soc.
Page : 182 pages
File Size : 52,8 Mb
Release : 1974
Category : Mathematics
ISBN : 9780821818480
Author : M. P. Fourman,C. J. Mulvey,D. S. Scott
Publisher : Springer
Page : 798 pages
File Size : 52,8 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540348498
Author : Rudolf E. Hoffmann
Publisher : CRC Press
Page : 392 pages
File Size : 45,9 Mb
Release : 2020-12-17
Category : Computers
ISBN : 9781000154177
This book contains articles on the notion of a continuous lattice, which has its roots in Dana Scott's work on a mathematical theory of computation, presented at a conference on categorical and topological aspects of continuous lattices held in 1982.
Author : Library of Congress. Copyright Office
Publisher : Copyright Office, Library of Congress
Page : 1076 pages
File Size : 43,5 Mb
Release : 1974
Category : Copyright
ISBN : STANFORD:36105119497704
Author : B. Csákány,J. Schmidt
Publisher : Elsevier
Page : 609 pages
File Size : 47,8 Mb
Release : 2014-05-15
Category : Mathematics
ISBN : 9781483103020
Contributions to Universal Algebra focuses on the study of algebra. The compilation first discusses the congruence lattice of pseudo-simple algebras; elementary properties of limit reduced powers with applications to Boolean powers; and congruent lattices of 2-valued algebras. The book further looks at duality for algebras; weak homomorphisms of stone algebras; varieties of modular lattices not generated by their finite dimensional members; and remarks on algebraic operations of stone algebras. The text describes polynomial normal forms and the embedding of polynomial algebras; coverings in the lattice of varieties; embedding semigroups in semigroups generated by idempotents; and endomorphism semigroups and subgroupoid lattices. The book also discusses a report on sublattices of a free lattice, and then presents the cycles in finite semi-distributive lattices; cycles in S-lattices; and summary of results. The text also describes primitive subsets of algebras, ideals, normal sets, and congruences, as well as Jacobson’s density theorem. The book is a good source for readers wanting to study algebra.
