Lattices with unique complements

Lattices with unique complements

by Saliĭ, V. N., (Vi︠a︡cheslav Nikolaevich)

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The class of uniquely complemented lattices properly contains all Boolean lattices. However, no explicit example of a non-Boolean lattice of this class has been found. In addition, the question of whether this class contains any complete non-Boolean lattices remains unanswered. This book focuses on these classical problems of lattice theory and the various attempts to solve them. Requiring no specialized knowledge, the book is directed at researchers and students interested in general algebra a…

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Title Statements

  • Full title :Lattices with unique complements / V.N. Saliĭ.

Summary

The class of uniquely complemented lattices properly contains all Boolean lattices. However, no explicit example of a non-Boolean lattice of this class has been found. In addition, the question of whether this class contains any complete non-Boolean lattices remains unanswered. This book focuses on these classical problems of lattice theory and the various attempts to solve them. Requiring no specialized knowledge, the book is directed at researchers and students interested in general algebra and mathematical logic.

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Edition Statements

  • Publication Date:©1988.

Publication Statements

The Physical Object

  • Description:1 online resource

Edition Identifiers

  • ISBN:9781470444839, 1470444836
  • oclc:on1031949136
  • LC Classification:QA171.5.S2513 1988
  • Dewey Decimal:512/.7

Subjects

Lattice theory Théorie des treillis

Writers

Saliĭ, V. N., (Vi︠a︡cheslav Nikolaevich)

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