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Lattices with Unique Complements.
・ISBN 978-0-8218-4522-6 hard US$ 165.00
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| シリーズ | Translations of Mathematical Monographs |
|---|---|
| 出版社 | (American Mathematical Society, US) |
| 出版年月 | 1988 |
| ページ数 | 113 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-12509＞ |
解説
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.