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#### Semimodular Lattices

Cambridge University Press 1999; US$ 76.00 US$ 62.32A survey of semimodularity that presents theory and applications in discrete mathematics, group theory and universal algebra. more...

#### Lattices and Codes

Springer Fachmedien Wiesbaden 2012; US$ 39.30The 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$ 95.46Of 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...

#### Continuous Lattices and Domains

Cambridge University Press 2003; US$ 228.00 US$ 186.96Authoritative and comprehensive account; an essential handbook for all those working in the area. more...

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

Springer Berlin Heidelberg 2007; US$ 146.01By ?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...

#### Axioms for Lattices and Boolean Algebras

World Scientific Publishing Company 2008; US$ 80.00 US$ 65.60The 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...

#### Fuzzy Sets, Logics and Reasoning about Knowledge

Springer Netherlands 2013; US$ 190.94Fuzzy Sets, Logics and Reasoning about Knowledge reports recent results concerning the genuinely logical aspects of fuzzy sets in relation to algebraic considerations, knowledge representation and commonsense reasoning. It takes a state-of-the-art look at multiple-valued and fuzzy set-based logics, in an artificial intelligence perspective.... more...

#### Duality Theories for Boolean Algebras with Operators

Springer International Publishing 2014; US$ 84.23In this new text, Steven Givant?the author of several acclaimed books, including works co-authored with Paul Halmos and Alfred Tarski?develops three theories of duality for Boolean algebras with operators. Givant addresses the two most recognized dualities (one algebraic and the other topological) and introduces a third duality, best understood as... more...

#### Monotone Complete C*-algebras and Generic Dynamics

Springer London 2015; US$ 84.23This monograph is about monotone complete C*-algebras, their properties and the new classification theory. A self-contained introduction to generic dynamics is also included because of its important connections to these algebras. Our knowledge and understanding of monotone complete C*-algebras has been transformed in recent years. This is a very... more...

#### On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory

Springer International Publishing 2016; US$ 97.71The book is a collection of contributionsby leading experts, developed around traditional themes discussed at the annualLinz Seminars on Fuzzy Set Theory. The different chapters have been written byformer PhD students, colleagues, co-authors and friends of Peter Klement, aleading researcher and the organizer of the Linz Seminars on Fuzzy Set Theory.The... more...