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

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...

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Hlavní autor: Grätzer, George. (Autor, http://id.loc.gov/vocabulary/relators/aut)
Korporativní autor: SpringerLink (Online service)
Médium: Elektronický zdroj E-kniha
Jazyk:English
Vydáno: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2006.
Vydání:1st ed. 2006.
Témata:
Algebra.
Ordered algebraic structures.
Mathematical logic.
Probabilities.
Number theory.
Order, Lattices, Ordered Algebraic Structures.
Mathematical Logic and Foundations.
Probability Theory and Stochastic Processes.
Number Theory.
On-line přístup:https://doi.org/10.1007/0-8176-4462-8
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Obsah:
  • 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.

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