Universal Algebra heralded as ‘the standard reference in a field notorious for the lack of standardization‘, has become the most authoritative, consistently relied on text in a field with applications in other branches of algebra andother fields such as combinatorics, geometry, and computer science. Each chapter is followed by an extensive list of exercises and problems. The ‘state of the art’ account also includes new appendices (with contributions from B. Jónsson, R. Quackenbush, W. Taylor, and G. Wenzel) and a well selected additional bibliography of over 1250 papers and books which makes this an indispensable new edition for students, faculty, and workers in the field. ‘This book will certainly be, in the years to come, the basic reference to the subject.’ The American Mathematical Monthly (First Edition) Provides a self-contained classic text for universal algebras Includes problem sets and exercises perfect for classroom use or self-study Presents an extensive bibliography and several appendices that expand on certain concepts INDICE: Table of Notation.- Chapter 0. Basic Concepts.- Chapter 1. Subalgebras and Homomorphisms.- Chapter 2. Partial Algebras.- Chapter 3. Contructionsof Algebras.- Chapter 4. Free Algebras.- Chapter 5. Independence.- Chapter 6.Elments of Model Theory.- Chapter 7. Elementary Properties of Algebraic Constructions.- Chapter 8. Free S-Structures.- Appendix 1. General Survey.- Appendix 2. The Problems.- Appendix 3. Congruence Varieties.- Appendix 4. Equational Logic.- Appendix 5. Primality: the Influence of Boolean Algebras in Universal Algebra.- Appendix 6. Equational Compactness.- Appendix 7. The Independence Proof.- Bibliography.- Index.
- ISBN: 978-0-387-77486-2
- Editorial: Springer
- Encuadernacion: Rústica
- Páginas: 605
- Fecha Publicación: 01/06/2008
- Nº Volúmenes: 1
- Idioma: Inglés
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- MATEMÁTICAS /
- ÁLGEBRA