The Congruences of a Finite Lattice A Proof-by-Picture Approach /

• Κύριος συγγραφέας: Grätzer, George (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Birkhäuser Boston, 2006.
• Θέματα: Mathematics.; Algebra.; Ordered algebraic structures.; Mathematical logic.; Number theory.; Probabilities.; Order, Lattices, Ordered Algebraic Structures.; Mathematical Logic and Foundations.; Probability Theory and Stochastic Processes.; Number Theory.

The congruences of a lattice form the congruence lattice. In the past half-century, the study of congruence lattices has become a large and important field with a great number of interesting and deep results and many open problems. This self-contained exposition by one of the leading experts in latt...

Πίνακας περιεχομένων:

• A Brief Introduction to Lattices
• Basic Concepts
• Special Concepts
• Congruences
• Basic Techniques
• Chopped Lattices
• Boolean Triples
• Cubic Extensions
• Representation Theorems
• The Dilworth Theorem
• Minimal Representations
• Semimodular Lattices
• Modular Lattices
• Uniform Lattices
• Extensions
• Sectionally Complemented Lattices
• Semimodular Lattices
• Isoform Lattices
• Independence Theorems
• Magic Wands
• Two Lattices
• Sublattices
• Ideals
• Tensor Extensions.