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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Roman, Steven (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: New York, NY : Springer New York, 2008.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.