The Congruences of a Finite Lattice : a "Proof-by-Picture" Approach /: a "Proof-by-Picture" Approach. (2016)

• Record Type: Book
• Further Information: Note: By George Grätzer.
• Other Names: Gratzer, George A
• Contents: 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.
• Edition: 2nd ed. 2016
• Publisher Details: Cham : Springer International Publishing Imprint Birkhäuser
• Publication Date: 2016
• Extent: 1 online resource (XXXIV, 346 pages), 159 illustrations
• Subjects: 223; 511.33; Mathematics; Algebra; Ordered algebraic structures; Logic, Symbolic and mathematical; Number theory; Probabilities; Algebra; Logic, Symbolic and mathematical; Mathematics; Number theory; Ordered algebraic structures; Probabilities; Mathematics -- Logic; Mathematics -- Probability & Statistics -- General; Mathematics -- Number Theory; Mathematical foundations; Probability & statistics; Number theory; Distribution (Probability theory); Mathematics -- Algebra -- Abstract; Algebra; Electronic books
• Languages: English
• ISBNs: 9783319387987; 3319387987
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.