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The congruences of a finite lattice ...
~
Gratzer, George.
The congruences of a finite lattice = a "Proof-by-Picture" approach /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
The congruences of a finite lattice/ by George Gratzer.
Reminder of title:
a "Proof-by-Picture" approach /
Author:
Gratzer, George.
Published:
Cham :Springer International Publishing : : 2016.,
Description:
xxxiv, 346 p. :ill., digital ; : 24 cm.;
Contained By:
Springer eBooks
Subject:
Congruence lattices. -
Online resource:
http://dx.doi.org/10.1007/978-3-319-38798-7
ISBN:
9783319387987
The congruences of a finite lattice = a "Proof-by-Picture" approach /
Gratzer, George.
The congruences of a finite lattice
a "Proof-by-Picture" approach /[electronic resource] :by George Gratzer. - 2nd ed. - Cham :Springer International Publishing :2016. - xxxiv, 346 p. :ill., digital ;24 cm.
I: A Brief Introduction to Lattices -- Basic Concepts -- Special Concepts -- Congruences -- Planar Semimodular Lattices -- II: Some Special Techniques -- Chopped Lattices -- Boolean Triples -- Cubic Extensions -- III: Congruence Lattices of Finite Lattices -- The Dilworth Theorem -- Minimal Representations -- Semimodular Lattices -- Rectangular Lattices -- Modular Lattices -- Uniform Lattices -- IV: Congruence Lattices and Lattice Extensions -- Sectionally Complemented Lattices -- Semimodular Lattices -- Isoform Lattices -- The Congruence Lattice and the Automorphism Group -- Magic Wands -- V: Congruence Lattices of Two Related Lattices -- Sublattices -- Ideals -- Tensor Extensions -- VI The Ordered Set of Principal Congruences -- Representation Theorems -- Isotone Maps -- VII: Congruence Structure -- Prime Intervals and Congruences -- Some Applications of the Swing Lemma.
ISBN: 9783319387987
Standard No.: 10.1007/978-3-319-38798-7doiSubjects--Topical Terms:
1110666
Congruence lattices.
LC Class. No.: QA171.5
Dewey Class. No.: 511.33
The congruences of a finite lattice = a "Proof-by-Picture" approach /
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I: A Brief Introduction to Lattices -- Basic Concepts -- Special Concepts -- Congruences -- Planar Semimodular Lattices -- II: Some Special Techniques -- Chopped Lattices -- Boolean Triples -- Cubic Extensions -- III: Congruence Lattices of Finite Lattices -- The Dilworth Theorem -- Minimal Representations -- Semimodular Lattices -- Rectangular Lattices -- Modular Lattices -- Uniform Lattices -- IV: Congruence Lattices and Lattice Extensions -- Sectionally Complemented Lattices -- Semimodular Lattices -- Isoform Lattices -- The Congruence Lattice and the Automorphism Group -- Magic Wands -- V: Congruence Lattices of Two Related Lattices -- Sublattices -- Ideals -- Tensor Extensions -- VI The Ordered Set of Principal Congruences -- Representation Theorems -- Isotone Maps -- VII: Congruence Structure -- Prime Intervals and Congruences -- Some Applications of the Swing Lemma.
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Mathematics and Statistics (Springer-11649)
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