| 书目名称 | The Congruences of a Finite Lattice | | 副标题 | A "Proof-by-Picture" | | 编辑 | George Grätzer | | 视频video | | | 概述 | Offers a self-contained introduction to congruence lattices of finite lattices.Presents major research results from the last 90 years.Incorporates the author‘s signature "Proof-by-Picture" method | | 图书封面 |  | | 描述 | The congruences of a lattice form the congruence lattice. Over the last several decades, the study of congruence lattices has established itself as a large and important field with a great number of interesting and deep results, as well as many open problems. Written by one of the leading experts in lattice theory, this text provides a self-contained introduction to congruences of finite lattices and presents the major results of the last 90 years. It features the author’s signature “Proof-by-Picture” method, which is used to convey the ideas behind formal proofs in a visual, more intuitive manner. .Key features include:.an insightful discussion of techniques to construct "nice" finite lattices with given congruence lattices and "nice" congruence-preserving extensions.complete proofs, an extensive bibliography and index, and over 180 illustrations.additional chapters covering new results of the lastseven years, increasing the size of this edition to 430 pages, 360 statements, and 262 references.This text is appropriate for a one-semester graduate course in lattice theory, and it will also serve as a valuable reference for researchers studying lattices. .Reviews of previous editi | | 出版日期 | Textbook 2023Latest edition | | 关键词 | Congruence lattice; Congruence lattices of finite lattices; Slim, planar, semimodular lattices; Slim re | | 版次 | 3 | | doi | https://doi.org/10.1007/978-3-031-29063-3 | | isbn_softcover | 978-3-031-29065-7 | | isbn_ebook | 978-3-031-29063-3 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 17:53:48
