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The congruences of a finite latticea...

Gratzer, George.

The congruences of a finite latticea "Proof-by-Picture" approach /

Record Type:	Electronic resources : Monograph/item
Title/Author:	The congruences of a finite latticeby 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$q(electronic bk.)

The congruences of a finite latticea "Proof-by-Picture" approach /
Gratzer, George.

The congruences of a finite latticea "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$q(electronic bk.)

Standard No.: 10.1007/978-3-319-38798-7doiSubjects--Topical Terms:

750323
Congruence lattices.

LC Class. No.: QA171.5

Dewey Class. No.: 511.33

The congruences of a finite latticea "Proof-by-Picture" approach /
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100 1 $a Gratzer, George. $3 309733
245 1 4 $a The congruences of a finite lattice $h [electronic resource] : $b a "Proof-by-Picture" approach / $c by George Gratzer.
250 $a 2nd ed.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2016.
300 $a xxxiv, 346 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
650 0 $a Congruence lattices. $3 750323
650 0 $a Lattice theory. $3 185633
650 0 $a Mathematics. $3 184409
650 0 $a Algebra. $3 188312
650 0 $a Ordered algebraic structures. $3 467759
650 0 $a Logic, Symbolic and mathematical. $3 180452
650 0 $a Number theory. $3 189521
650 0 $a Probabilities. $3 182046
650 2 4 $a Order, Lattices, Ordered Algebraic Structures. $3 275673
650 2 4 $a Mathematical Logic and Foundations. $3 274479
650 2 4 $a Probability Theory and Stochastic Processes. $3 274061
650 2 4 $a Number Theory. $3 274059
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
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950 $a Mathematics and Statistics (Springer-11649)