This book is intended to be a thorough introduction to the subject of order and lattices and can be used for a course at the graduate or advanced undergraduate level or for independent study. Prerequisites consist mostly of a bit of mathematical maturity, such as that provided by a basic undergraduate course in abstract algebra. Written in an appealing style Will become a standard text and an invaluable guide Contains a plethora of exercises, examples, and illustrations INDICE: Preface.- Partially Ordered Sets.- Well-Ordered Sets.- Lattices.- Modular and Distributive Lattices.- Boolean Algebras.- The Representation of Distributive Lattices.- Algebraic Lattices.- Prime and Maximal Ideals: Separation Theorems.- Congruence Relations on Lattices.- Duality for Distributive Lattices: The Priestley Topology.- Free Lattices.- Fixed-Point Theorems.- AppendixA: A Bit of Topology.- Appendix B: A Bit of Category Theory.- References.- Index of Symbols.- Index.
- ISBN: 978-0-387-78900-2
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 330
- Fecha Publicación: 01/12/2008
- Nº Volúmenes: 1
- Idioma: Inglés
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- MATEMÁTICAS /
- ÁLGEBRA