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The congruences of a finite lattice ...

Grätzer, George.

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The congruences of a finite lattice = a "proof-by-picture" approach /

Record Type:	Electronic resources : Monograph/item
Title/Author:	The congruences of a finite lattice/ by George Grätzer.
Reminder of title:	a "proof-by-picture" approach /
Author:	Grätzer, George.
Published:	Cham :Springer International Publishing : : 2023.,
Description:	xxxv, 430 p. :ill., digital ;24 cm.
[NT 15003449]:	Part I: A Brief Introduction to Lattices -- Basic Concepts -- Special Concepts -- Congruences -- Planar Semimodular Lattices -- Part II: Some Special Techniques -- Chopped Lattices -- Boolean Triples -- Cube Extensions -- Part III: RTs -- Sectionally Complemented RT -- Minimal RT -- Semimodular RT -- Rectangular RT -- Modular RT -- Uniform RT -- Part IV: ETs -- Sectionally Complemented ET -- Semimodular ET -- Isoform ET -- Magic Wands -- Part V: Congruence Lattices of Two Related Lattices -- Sublattices -- Ideals -- Two Convex Sublattices -- Tensor Extensions -- Part VI: The Ordered Set of Principle Congruences -- The RT for Principal Congruences -- Minimal RTs -- Principal Congruence Representable Sets -- Isotone Maps -- Part VII: The Prime-Projectivity Lemma -- The Swing Lemma -- Fork Congruences -- Part VIII: The Six Congruence Properties of SPS Lattices -- Six Major Properties.
Contained By:	Springer Nature eBook
Subject:	Congruence lattices. -
Online resource:	https://doi.org/10.1007/978-3-031-29063-3
ISBN:	9783031290633

The congruences of a finite lattice = a "proof-by-picture" approach /
Grätzer, George.

The congruences of a finite latticea "proof-by-picture" approach /[electronic resource] :by George Grätzer. - Third edition. - Cham :Springer International Publishing :2023. - xxxv, 430 p. :ill., digital ;24 cm.

Part I: A Brief Introduction to Lattices -- Basic Concepts -- Special Concepts -- Congruences -- Planar Semimodular Lattices -- Part II: Some Special Techniques -- Chopped Lattices -- Boolean Triples -- Cube Extensions -- Part III: RTs -- Sectionally Complemented RT -- Minimal RT -- Semimodular RT -- Rectangular RT -- Modular RT -- Uniform RT -- Part IV: ETs -- Sectionally Complemented ET -- Semimodular ET -- Isoform ET -- Magic Wands -- Part V: Congruence Lattices of Two Related Lattices -- Sublattices -- Ideals -- Two Convex Sublattices -- Tensor Extensions -- Part VI: The Ordered Set of Principle Congruences -- The RT for Principal Congruences -- Minimal RTs -- Principal Congruence Representable Sets -- Isotone Maps -- Part VII: The Prime-Projectivity Lemma -- The Swing Lemma -- Fork Congruences -- Part VIII: The Six Congruence Properties of SPS Lattices -- Six Major Properties.

ISBN: 9783031290633

Standard No.: 10.1007/978-3-031-29063-3doiSubjects--Topical Terms:

2047433
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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100 1 $a Grätzer, George. $3 3632319
245 1 4 $a The congruences of a finite lattice $h [electronic resource] : $b a "proof-by-picture" approach / $c by George Grätzer.
250 $a Third edition.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2023.
300 $a xxxv, 430 p. : $b ill., digital ; $c 24 cm.
505 0 $a Part I: A Brief Introduction to Lattices -- Basic Concepts -- Special Concepts -- Congruences -- Planar Semimodular Lattices -- Part II: Some Special Techniques -- Chopped Lattices -- Boolean Triples -- Cube Extensions -- Part III: RTs -- Sectionally Complemented RT -- Minimal RT -- Semimodular RT -- Rectangular RT -- Modular RT -- Uniform RT -- Part IV: ETs -- Sectionally Complemented ET -- Semimodular ET -- Isoform ET -- Magic Wands -- Part V: Congruence Lattices of Two Related Lattices -- Sublattices -- Ideals -- Two Convex Sublattices -- Tensor Extensions -- Part VI: The Ordered Set of Principle Congruences -- The RT for Principal Congruences -- Minimal RTs -- Principal Congruence Representable Sets -- Isotone Maps -- Part VII: The Prime-Projectivity Lemma -- The Swing Lemma -- Fork Congruences -- Part VIII: The Six Congruence Properties of SPS Lattices -- Six Major Properties.
650 0 $a Congruence lattices. $3 2047433
650 0 $a Lattice theory. $3 532024
650 0 $a Algebra. $3 516203
650 0 $a Ordered algebraic structures. $3 713880
650 0 $a Logic, Symbolic and mathematical. $3 532051
650 1 4 $a Order, Lattices, Ordered Algebraic Structures. $3 896039
650 2 4 $a Group Theory and Generalizations. $3 893889
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856 4 0 $u https://doi.org/10.1007/978-3-031-29063-3
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