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Title: Introduction to Boolean Algebras by Paul Halmos, Steven Givant.
Undergraduate Texts in Mathematics,
Undergraduate texts in mathematics,

Main Entry: Halmos, Paul.
Givant, Steven.
SpringerLink (Online service)

Publisher: Springer New York,
Publication Date: 2009.
Publication Place: New York, NY :
ISBN: 9780387684369
Subject: Mathematics.
Algebra.
Logic, Symbolic and mathematical.
Mathematics.
Order, Lattices, Ordered Algebraic Structures.
Mathematical Logic and Foundations.

Series: Undergraduate Texts in Mathematics,
Undergraduate texts in mathematics,

Contents: Preface -- Boolean Rings -- Boolean Algebras -- Boolean Algebras versus Rings -- The Principle of Duality -- Fields of Sets -- Elementary Relations -- Order -- Infinite Operations -- Topology -- Regular Open Sets -- Subalgebras -- Homomorphisms -- Extensions of Homomorphisms -- Atoms -- Finite Boolean Algebras -- Atomless Boolean Algebras -- Congruences and Quotients -- Ideals and Filters -- Lattices of Ideals -- Maximal Ideals -- Homomorphism and Isomorphism Theorems -- The Representation Theorem -- Canonical Extensions -- Complete Homomorphisms and Complete Ideals -- Completions -- Products of Algebras -- Isomorphisms of Factors -- Free Algebras -- Boolean o-algebras -- The Countable Chain Condition -- Measure Algebras -- Boolean Spaces -- Continuous Functions -- Boolean Algebras and Boolean Spaces -- Duality for Ideals -- Duality for Homomorphisms.-Duality for Subalgebras -- Dualtiy for Completeness -- Boolean o-spaces -- The Representation of o-algebras -- Boolean Measure Spaces -- Incomplete Algebras -- Dualtiy for Products -- Sums of Algebras -- Isomorphisms of Countable Factors.-Epilogue -- Set Theory -- Hints to Selected Exercises -- References -- Index.
Related Records: Springer eBooks
Printed edition: 9780387402932

Cover Image: http://images.amazon.com/images/P/9780387684369.jpg

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