Lattice Theory, Volume 25, Part 2

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American Mathematical Soc., Dec 31, 1940 - Mathematics - 418 pages
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Since its original publication in 1940, this book has been revised and modernized several times, most notably in 1948 (second edition) and in 1967 (third edition). The material is organized into four main parts: general notions and concepts of lattice theory (Chapters I-V), universal algebra (Chapters VI-VII), applications of lattice theory to various areas of mathematics (Chapters VIII-XII), and mathematical structures that can be developed using lattices (Chapters XIII-XVII). At the end of the book there is a list of 166 unsolved problems in lattice theory, many of which still remain open. It is excellent reading, and ... the best place to start when one wishes to explore some portion of lattice theory or to appreciate the general flavor of the field. --Bulletin of the AMS
 

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it is a nice book which was studied by me. it covers all the topics of lattice theoretic many examples and so many excersizes
are given.it is useful for graduates and researchers .

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interesting to read and easy to understand

Contents

CHAPTER
1
CHAPTER II
20
CHAPTER III
55
GEOMETRIC LATTICES
80
COMPLETE LATTICES
111
CHAPTER VI
122
UNIVERSAL ALGEBRA
132
APPLICATIONS TO ALGEBRA
159
CHAPTER XI
254
CHAPTER XII
277
LATTICEORDERED GROUPS
287
LATTICEORDERED MONOIDS
319
CHAPTER XV
347
POSITIVE LINEAR OPERATORS
380
CHAPTER XVII
397
BIBLIOGRAPHY
411

CHAPTER VIII
180
APPLICATIONS TO GENERAL TOPOLOGY
211

Common terms and phrases

Popular passages

Page 5 - P is defined as the least upper bound of the lengths of the chains in P.
Page 6 - A lattice is a poset P any two of whose elements have a glb or "meet" denoted by x A y, and a lub or "join
Page 11 - L6 . x A (y V z) = (x A y) V (x A z) L6".

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