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eBook Lattices with Unique Complements (Translations of Mathematical Monographs) ePub

by V. N. Salii

eBook Lattices with Unique Complements (Translations of Mathematical Monographs) ePub
Author: V. N. Salii
Language: English
ISBN: 0821845225
ISBN13: 978-0821845226
Publisher: American Mathematical Society (December 31, 1988)
Pages: 113
Category: Science & Mathematics
Subcategory: Other
Rating: 4.8
Votes: 290
Formats: docx azw doc mbr
ePub file: 1693 kb
Fb2 file: 1170 kb

V. N. Sali j, Lattices with unique complementation, Transl. A new topic in this book is the characterization of Boolean algebras within the class of all uniquely complemented lattices.

Hence there exists a uniquely complemented lattice containing. N5. as a sublattice which is, of course, not distributive. V.

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. Download Lattices with Unique Complements (Translations of Mathematical Monographs) free. Lattices with Unique Complements (Translations of Mathematical Monographs) fb2 DOWNLOAD FREE.

Canadian Mathematical Bulletin  . 6. Saliï, V. Lattices with unique complements, Translations of the Amer.

Canadian Mathematical Bulletin English Français. Canadian Mathematical Bulletin. Soc, Providence, 1988.

Book Condition: Item may show signs of shelf wear. Pages may include limited notes and highlighting. Series: Translations of Mathematical Monographs (Book 212). May not include supplemental or companion materials if applicable.

N. Salii, Lattices with Unique Complements, Translations of Mathematical Monographs, Volume 69, American Mathematical Society, Providence, 1988. 06009&format complete. Zundark, Sep 19, 2008.

Saliĭ, Lattices with Unique Complements, Translations of the Amer. G. Szász, On the de Morgan formulae and the antitony of complements in lattices, Czechoslovak Math. J. 28 (103) (1978), 406–440.

However it is true that every atomic complete lattice with unique complements is Boolean (and isomorphic to the power set lattice of its atoms). For a proof, see Theorem 18 in §6 of G. Birkhoff's book "Lattice theory".

However, this book makes a unique contribution to this literature, for the authors' guiding principle was to present the material with a maximum of clarity and a minimum of formalization. Chapter 1 contains historical background on Plateau's problem, referring to the period preceding the 1930s, and a description of its connections with the natural sciences.

Project Euclid - mathematics and statistics online. Volume 22, Number 2 (1990), 318-324.

Lattices with Unique Complements. XXV, 3rd edn. American Mathematical Society, Providence. Lattices with unique complementation. M. E. Adams, Jirí Sichler.

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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