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Axioms For Lattices And Boolean Algebras

The importance of equational axioms emerged initially with the axiomatic approach to Boolean algebras, groups, and rings, and later;

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Semimodular Lattices

outline the development of semimodular lattices from Boolean algebras. He focuses on the important theory of semimodularity, its many;

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Semimodular Lattices

outline the development of semimodular lattices from Boolean algebras. He focuses on the important theory of semimodularity, its many;

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Predicate Transformer Semantics

. This book presents a rigorous foundation for defining Boolean categories, in which the relationship between specification and behaviour can be;

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Dualities for Structures of Applied Logics

This book provides a framework for presenting algebras and frames arising as semantic structures for formal languages and for proving;

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Boolean Algebra

distinguished educator. With this text, he offers an elementary treatment that employs Boolean algebra as a simple medium for introducing important;

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Lectures on Boolean Algebras

. Additional topics include measure algebras, Boolean spaces, the representation theorem, duality for ideals and for homomorphisms, Boolean measure;

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Advanced Boolean Techniques

arithmetic, Software and tools for the solution of Boolean problems, Applications of Boolean logic and algebras, Applications to real-world problems;

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Polynomial Completeness in Algebraic Systems

completeness, Polynomial Completeness in Algebraic Systems focuses on and systematically extends another specific property of Boolean algebras: the;

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Boolean Valued Analysis

different set-theoretic models whose construction utilises principally distinct Boolean algebras. The use of two models for studying a single object;

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Basic Algebra I

treatment extends to such rigorous topics as Lie and Jordan algebras, lattices, and Boolean algebras. Exercises appear throughout the text, along;

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Geometry and Discrete Mathematics

problems Finite probability theory and Bayesian analysis Boolean lattices, Boolean algebras and Stone's theorem;

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Generalized Lattices

of mathematics and, in particular, as in related double Boolean algebras with mathematical studies.;

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The Lattice of Subquasivarieties of a Locally Finite Quasivariety

quasivarieties of abelian groups, modular lattices, unary algebras and pure relational structures. An appendix gives an overview of the theory;

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Non-commutative Multiple-Valued Logic Algebras

, bounded divisible residuated lattices, pseudo-MTL algebras, pseudo-BL algebras and pseudo-MV algebras. It provides a fresh perspective on new;

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Nonstandard Analysis and Vector Lattices

infinitesimal and Boolean-valued constructions of use in the classical problems of representing abstract analytical objects, such as Banach-Kantorovich;

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Introduction to Boolean Algebras

and the Stone-Weierstrass approximation theorem were intimately connected to his study of Boolean algebras.;

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Multiplicative Invariant Theory

invariant algebras for lattices of rank 2. The book is intended for graduate and postgraduate students as well as researchers in integral;

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Boolean Reasoning

starts with an overview of elementary mathematical concepts and outlines the theory of Boolean algebras, based on Huntington's postulate. It;

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Lie Algebras With Triangular Decompositions

Imparts a self--contained development of the algebraic theory of Kac--Moody algebras, their representations and close relatives----the;

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Logic and Boolean Algebra

This volume concentrates on the structure of Boolean algebras and rings as developed through simpler algebraic systems. The algebra;

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Spectral Spaces

were invented to give a functional representation of Boolean algebras and distributive lattices and subsequently gained great prominence as a;

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Groups, Algebras and Identities

well as applications of universal algebra to computer science, geometric ring theory, small cancellation theory, and Boolean algebras.;

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Banach Spaces of Continuous Functions as Dual Spaces

This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K) of continuous functions on a;

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Characterizations of C* Algebras: The Gelfand Naimark Theorems

*-Algebras: The Gelfand-Naimark Theorems is an ideal text for graduatestudents taking such courses as The Theory of Banach Algebras and C*-Algebras;

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Characterizations of C* Algebras: The Gelfand Naimark Theorems

*-Algebras: The Gelfand-Naimark Theorems is an ideal text for graduatestudents taking such courses as The Theory of Banach Algebras and C*-Algebras;

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Algebraic Logic

terms to equality. Part Three offers three items on polyadic Boolean algebras, including a survey of predicates, terms, operations, and equality;

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