Lattices and Ordered Sets

Häftad, Engelska, 2010

AvSteven Roman

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Lattice theory began in the early 1890s, when Richard Dedekind wanted to know the answer to the following question: Given three subgroups EF , and G of an abelian group K, what is the largest number of distinct subgroups that can be formed using these subgroups and the operations of intersection and sum (join), as in E?FßÐE?FÑ?GßE?ÐF?GÑ and so on?

Produktinformation

Utgivningsdatum2010-10-29
Mått155 x 235 x 21 mm
Vikt490 g
FormatHäftad
SpråkEngelska
Antal sidor305
FörlagSpringer-Verlag New York Inc.
ISBN9781441927040

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From the reviews: "This text ... deals with basic material in the areas of ordered sets and lattices and is aimed at advanced undergraduate or (more likely) beginning graduate students. ... The choice and coverage of the material involved is excellent and the presentation is pleasantly lucid ... . Throughout the text the arguments are clear and sound, and at the end of each chapter there is a good selection of exercises to whet the reader's appetite. ... this is a worthy addition to the lattice theory literature." (T. S. Blyth, Mathematical Reviews, Issue 2009 f)