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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 /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The congruences of a finite lattice/ by George Grätzer.
其他題名:	a "proof-by-picture" approach /
作者:	Grätzer, George.
出版者:	Cham :Springer International Publishing : : 2023.,
面頁冊數:	xxxv, 430 p. :ill., digital ;24 cm.
內容註:	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
標題:	Congruence lattices. -
電子資源:	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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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.
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