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    Axioms for Lattices and Boolean Algebras

    ISBN-10: 9812834540
    ISBN-13: 9789812834546
    Author(s): Rudeanu, S. Rudeanu
    Description: The 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  More...
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    Publisher: World Scientific Publishing Company, Incorporated
    Binding: Hardcover
    Size: 6.25" wide x 9.25" long x 0.75" tall
    Weight: 1.188
    Language: English

    The 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" or other types of operations such as ternary operations. Each of the axiom-systems is coded in a handy way so that it is easy to follow the natural connection among the various axioms and to understand how to combine them to form new axiom-systems.

    Introduction
    Semilattices and Lattices
    Modular Lattices
    Distributive Lattices
    Boolean Algebras
    Further Topics and Open Problems
    Some Prover9 Proofs
    Partially Ordered Sets and Betweenness
    Quasilattices
    Lukasiewicz-Moisil Algebras
    Testing Associativity
    Complete Existential Theory and Related Concepts
    Bibliography
    Index

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