Description

Book Synopsis

Universal Algebra has become the most authoritative, consistently relied on text in a field with applications in other branches of algebra and other fields such as combinatorics, geometry, and computer science.

Each chapter is followed by an extensive list of exercises and problems.



Table of Contents
Basic Concepts.- Subalgebras and Homomorphisms.- Partial Algebras.- Constructions of Algebras.- Free Algebras.- Independence.- Elements of Model Theory.- Elementary Properties of Algebraic Constructions.- Free Structures.- Appendix 1. General Survey.- Appendix 2. The Problems.- Appendix 3. Congruence Varieties.- Appendix 4. Equational Logic by Walter Taylor.- Appendix 5. Primality the influence of Boolean Algebras in Universal Algebra.- Appendix 6 Equational Compactness.- Appendix 7 The Independence Proof.

Universal Algebra

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    A Paperback by George Gratzer

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      Book details

      Publisher Springer
      Published 7/29/2008 12:00:00 AM
      ISBN-13 9780387774862
      978-0387774862
      ISBN-10 0387774866
      Also in:
      Mathematics Algebra

      Description

      Book Synopsis

      Universal Algebra has become the most authoritative, consistently relied on text in a field with applications in other branches of algebra and other fields such as combinatorics, geometry, and computer science.

      Each chapter is followed by an extensive list of exercises and problems.



      Table of Contents
      Basic Concepts.- Subalgebras and Homomorphisms.- Partial Algebras.- Constructions of Algebras.- Free Algebras.- Independence.- Elements of Model Theory.- Elementary Properties of Algebraic Constructions.- Free Structures.- Appendix 1. General Survey.- Appendix 2. The Problems.- Appendix 3. Congruence Varieties.- Appendix 4. Equational Logic by Walter Taylor.- Appendix 5. Primality the influence of Boolean Algebras in Universal Algebra.- Appendix 6 Equational Compactness.- Appendix 7 The Independence Proof.

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