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Lattices and Ordered Sets
Langbeschreibung
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.
Hauptbeschreibung
Written in an appealing styleWill become a standard text and an invaluable guideContains a plethora of exercises, examples, and illustrations
Inhaltsverzeichnis
Basic Theory.- 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.- Topics.- Duality for Distributive Lattices: The Priestley Topology.- Free Lattices.- Fixed-Point Theorems.
ISBN-13:
9781441927040
Veröffentl:
2010
Erscheinungsdatum:
29.10.2010
Seiten:
305
Autor:
Steven Roman
Gewicht:
470 g
Format:
233x154x19 mm
Sprache:
Englisch