東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

The congruences of a finite lattice ...

Gratzer, George.

Linked to FindBook

Google Book

Amazon

博客來

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 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.
[NT 15003449]:	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.
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 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

Standard No.: 10.1007/978-3-319-38798-7doiSubjects--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 /
LDR:01843nmm a2200313 a 4500 001 2041582
003 DE-He213
005 20161130135941.0
006 m d
007 cr nn 008maaau
008 170118s2016 gw s 0 eng d
020 $a 9783319387987 $q (electronic bk.)
020 $a 9783319387963 $q (paper)
024 7 $a 10.1007/978-3-319-38798-7 $2 doi
035 $a 978-3-319-38798-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA171.5
072 7 $a PBF $2 bicssc
072 7 $a MAT002010 $2 bisacsh
082 0 4 $a 511.33 $2 23
090 $a QA171.5 $b .G773 2016
100 1 $a Gratzer, George. $3 928140
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 2047433
650 0 $a Lattice theory. $3 532024
650 0 $a Mathematics. $3 515831
650 0 $a Algebra. $3 516203
650 0 $a Ordered algebraic structures. $3 713880
650 0 $a Logic, Symbolic and mathematical. $3 532051
650 0 $a Number theory. $3 515832
650 0 $a Probabilities. $3 518889
650 2 4 $a Order, Lattices, Ordered Algebraic Structures. $3 896039
650 2 4 $a Mathematical Logic and Foundations. $3 892656
650 2 4 $a Probability Theory and Stochastic Processes. $3 891080
650 2 4 $a Number Theory. $3 891078
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-38798-7
950 $a Mathematics and Statistics (Springer-11649)