Introduction to Boolean Algebras

Authors:

ISBN: 978-0-387-40293-2 (Print) 978-0-387-68436-9 (Online)

Table of contents (45 chapters)

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  1. Front Matter

    Pages 1-14

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    Chapter

    Pages 1-7

    Boolean Rings

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    Chapter

    Pages 8-13

    Boolean Algebras

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    Chapter

    Pages 14-19

    Boolean Algebras Versus Rings

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    Chapter

    Pages 20-23

    The Principle of Duality

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    Chapter

    Pages 24-30

    Fields of Sets

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    Chapter

    Pages 31-37

    Elementary Relations

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    Chapter

    Pages 38-44

    Order

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    Chapter

    Pages 45-52

    Infinite Operations

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    Chapter

    Pages 53-65

    Topology

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    Chapter

    Pages 66-73

    Regular Open Sets

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    Chapter

    Pages 74-88

    Subalgebras

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    Chapter

    Pages 89-104

    Homomorphisms

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    Chapter

    Pages 105-116

    Extensions of Homomorphisms

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    Chapter

    Pages 117-126

    Atoms

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    Chapter

    Pages 127-133

    Finite Boolean Algebras

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    Chapter

    Pages 134-141

    Atomless Boolean Algebras

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    Chapter

    Pages 142-148

    Congruences and Quotients

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    Chapter

    Pages 149-163

    Ideals and Filters

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    Chapter

    Pages 164-170

    Lattices of Ideals

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    Chapter

    Pages 171-177

    Maximal Ideals

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