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The congruences of a finite lattice[electronic resource] :a "Proof-by-Picture" approach /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	511.33
書名/作者:	The congruences of a finite lattice : a "Proof-by-Picture" approach // by George Gratzer.
作者:	Gratzer, George.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	xxxiv, 346 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Congruence lattices.
標題:	Lattice theory.
標題:	Mathematics.
標題:	Algebra.
標題:	Ordered algebraic structures.
標題:	Logic, Symbolic and mathematical.
標題:	Number theory.
標題:	Probabilities.
標題:	Order, Lattices, Ordered Algebraic Structures.
標題:	Mathematical Logic and Foundations.
標題:	Probability Theory and Stochastic Processes.
標題:	Number Theory.
ISBN:	9783319387987
ISBN:	9783319387963
內容註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-38798-7

The congruences of a finite lattice[electronic resource] :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:

660451
Congruence lattices.

LC Class. No.: QA171.5

Dewey Class. No.: 511.33

The congruences of a finite lattice[electronic resource] :a "Proof-by-Picture" approach /
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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.
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