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Introduction to Boolean Algebras

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Cover of 'Introduction to Boolean Algebras'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Boolean Rings
  3. Altmetric Badge
    Chapter 2 Boolean Algebras
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    Chapter 3 Boolean Algebras Versus Rings
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    Chapter 4 The Principle of Duality
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    Chapter 5 Fields of Sets
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    Chapter 6 Elementary Relations
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    Chapter 7 Order
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    Chapter 8 Infinite Operations
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    Chapter 9 Topology
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    Chapter 10 Regular Open Sets
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    Chapter 11 Subalgebras
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    Chapter 12 Homomorphisms
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    Chapter 13 Extensions of Homomorphisms
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    Chapter 14 Atoms
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    Chapter 15 Finite Boolean Algebras
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    Chapter 16 Atomless Boolean Algebras
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    Chapter 17 Congruences and Quotients
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    Chapter 18 Ideals and Filters
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    Chapter 19 Lattices of Ideals
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    Chapter 20 Maximal Ideals
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    Chapter 21 Homomorphism and Isomorphism Theorems
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    Chapter 22 The Representation Theorem
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    Chapter 23 Canonical Extensions
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    Chapter 24 Complete Homomorphisms and Complete Ideals
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    Chapter 25 Completions
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    Chapter 26 Products of Algebras
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    Chapter 27 Isomorphisms of Factors
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    Chapter 28 Free Algebras
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    Chapter 29 Boolean s-algebras
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    Chapter 30 The Countable Chain Condition
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    Chapter 31 Measure Algebras
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    Chapter 32 Boolean Spaces
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    Chapter 33 Continuous Functions
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    Chapter 34 Boolean Algebras and Boolean Spaces
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    Chapter 35 Duality for Ideals
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    Chapter 36 Duality for Homomorphisms
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    Chapter 37 Duality for Subalgebras
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    Chapter 38 Duality for Completeness
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    Chapter 39 Boolean s-spaces
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    Chapter 40 The Representation of s-algebras
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    Chapter 41 Boolean Measure Spaces
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    Chapter 42 Incomplete Algebras
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    Chapter 43 Duality for Products
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    Chapter 44 Sums of Algebras
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    Chapter 45 Isomorphisms of Countable Factors
Attention for Chapter 6: Elementary Relations
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Chapter title
Elementary Relations
Chapter number 6
Book title
Introduction to Boolean Algebras
Published by
Springer, New York, NY, January 2009
DOI 10.1007/978-0-387-68436-9_6
Book ISBNs
978-0-387-40293-2, 978-0-387-68436-9
Authors

Steven Givant

Mendeley readers

The data shown below were compiled from readership statistics for 2 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 2 100%

Demographic breakdown

Readers by professional status Count As %
Researcher 1 50%
Unknown 1 50%
Readers by discipline Count As %
Computer Science 1 50%
Unknown 1 50%