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#### Lattices and Codes

Springer Fachmedien Wiesbaden 2012; US$ 39.16The purpose of coding theory is the design of efficient systems for the transmission of information. The mathematical treatment leads to certain finite structures: the error-correcting codes. Surprisingly problems which are interesting for the design of codes turn out to be closely related to problems studied partly earlier and independently in pure... more...

#### Theory of Symmetric Lattices

Springer Berlin Heidelberg 2012; US$ 95.13Of central importance in this book is the concept of modularity in lattices. A lattice is said to be modular if every pair of its elements is a modular pair. The properties of modular lattices have been carefully investigated by numerous mathematicians, including 1. von Neumann who introduced the important study of continuous geometry. Continu ous... more...

#### Semimodular Lattices

Cambridge University Press 1999; US$ 61.00A survey of semimodularity that presents theory and applications in discrete mathematics, group theory and universal algebra. more...

#### Continuous Lattices and Domains

Cambridge University Press 2003; US$ 228.00Authoritative and comprehensive account; an essential handbook for all those working in the area. more...

#### Lattices and Ordered Algebraic Structures

Springer London 2006; US$ 70.41The notion of an order plays an important role ˆ not only throughout mat- maticsbutalsoinadjacentdisciplinessuchaslogicandcomputerscience. The purpose of the present text is to provide a basic introduction to the theory of ordered structures. Taken as a whole, the material is mainly designed for a postgraduate course. However, since prerequisites are... more...

#### Set Theory

Birkhäuser Basel 2006; US$ 111.92This is a collection of articles on set theory written by some of the participants in theResearchProgrammeonSetTheoryanditsApplicationsthattookplaceatthe Centre de Recerca Matem` atica (CRM) in Bellaterra (Barcelona). The Programme run from September 2003 to July 2004 and included an international conference on set theory in September 2003, an advanced... more...

#### Graph Theory in Paris

Birkhäuser Basel 2006; US$ 123.11In July 2004, a conference on graph theory was held in Paris in memory of Claude Berge, one of the pioneers of the field. The event brought together many prominent specialists on topics such as perfect graphs and matching theory, upon which Claude Berge's work has had a major impact. This volume includes contributions to these and other topics from... more...

#### Towards a Unified Modeling and Knowledge-Representation based on Lattice Theory

Springer Berlin Heidelberg 2007; US$ 145.50By ‘model’ we mean a mathematical description of a world aspect. With the proliferation of computers a variety of modeling paradigms emerged under computational intelligence and soft computing. An advancing technology is currently fragmented due, as well, to the need to cope with different types of data in different application domains. This research... more...

#### Near Polygons

Birkhäuser Basel 2010; US$ 48.12Near polygons were introduced about 25 years ago and studied intensively in the 1980s. In recent years the subject has regained interest. This monograph gives an extensive overview of the basic theory of general near polygons. The first part of the book includes a discussion of the classes of dense near polygons, regular near polygons, and glued... more...

#### Axioms for Lattices and Boolean Algebras

World Scientific Publishing Company 2008; US$ 80.00 US$ 72.80The importance of equational axioms emerged initially with the axiomatic approach to Boolean algebras, groups, and rings, and later in lattices. This unique research monograph systematically presents minimal equational axiom-systems for various lattice-related algebras, regardless of whether they are given in terms of “join and meet”... more...