Grätzer The Congruences of a Finite Lattice
Erscheinungsjahr 2007
ISBN: 978-0-8176-4462-8
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
A Proof-by-Picture Approach
E-Book, Englisch, 282 Seiten, Web PDF
Reihe: Mathematics and Statistics (R0)
ISBN: 978-0-8176-4462-8
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
The congruences of a lattice form the . In the past half-century, the study of congruence lattices has become a large and important field with a great number of interesting and deep results and many open problems. This self-contained exposition by one of the leading experts in lattice theory, George Grätzer, presents the major results on congruence lattices of featuring the author's signature "Proof-by-Picture" method and its conversion to transparencies. Contains complete proofs, an extensive bibliography and index, and nearly 80 open problems. The book is appropriate for a one-semester graduate course in lattice theory, yet is also designed as a practical reference for researchers studying lattices.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
A Brief Introduction to Lattices.- Basic Concepts.- Special Concepts.- Congruences.- Basic Techniques.- Chopped Lattices.- Boolean Triples.- Cubic Extensions.- Representation Theorems.- The Dilworth Theorem.- Minimal Representations.- Semimodular Lattices.- Modular Lattices.- Uniform Lattices.- Extensions.- Sectionally Complemented Lattices.- Semimodular Lattices.- Isoform Lattices.- Independence Theorems.- Magic Wands.- Two Lattices.- Sublattices.- Ideals.- Tensor Extensions.
