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Lattices and Ordered Sets

This book is intended to be a thorough introduction to the subject of ordered sets and lattices, with an emphasis on the latter. It can be used for a course at the graduate or advanced undergraduate level or for independent study. Prerequisites are kept to a minimum, but an introductory course in ab...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Roman, Steven (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2008.
Edición:1st ed. 2008.
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.