Lattices with unique complements

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...

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Detalles Bibliográficos
Autores principales: Saliĭ, V N, Kandall, G A
Lenguaje:eng
Publicado: American Mathematical Society 1988
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/2318076
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author Saliĭ, V N
Kandall, G A
author_facet Saliĭ, V N
Kandall, G A
author_sort Saliĭ, V N
collection CERN
description 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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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1988
publisher American Mathematical Society
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spelling cern-23180762021-04-21T18:49:14Zhttp://cds.cern.ch/record/2318076engSaliĭ, V NKandall, G ALattices with unique complementsMathematical Physics and MathematicsThe 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.American Mathematical Societyoai:cds.cern.ch:23180761988
spellingShingle Mathematical Physics and Mathematics
Saliĭ, V N
Kandall, G A
Lattices with unique complements
title Lattices with unique complements
title_full Lattices with unique complements
title_fullStr Lattices with unique complements
title_full_unstemmed Lattices with unique complements
title_short Lattices with unique complements
title_sort lattices with unique complements
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2318076
work_keys_str_mv AT saliivn latticeswithuniquecomplements
AT kandallga latticeswithuniquecomplements

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