The Congruences Of A Finite Lattice: A Proofbypicture Approach,Used

The Congruences Of A Finite Lattice: A Proofbypicture Approach,Used

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The congruences of a lattice form the congruence lattice. In the past halfcentury, 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 selfcontained exposition by one of the leading experts in lattice theory, George Grtzer, presents the major results on congruence lattices of finite lattices featuring the author's signature 'ProofbyPicture' method and its conversion to transparencies.Key features:* Includes the latest findings from a pioneering researcher in the field* Insightful discussion of techniques to construct 'nice' finite lattices with given congruence lattices and 'nice' congruencepreserving extensions * Contains complete proofs, an extensive bibliography and index, and nearly 80 open problems* Additional information provided by the author online at:http://www.maths.umanitoba.ca/homepag...The book is appropriate for a onesemester graduate course in lattice theory, yet is also designed as a practical reference for researchers studying lattices.

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