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Note Sur un Probleme de Maeda

Published online by Cambridge University Press:  20 November 2018

Julien Constantin*
Affiliation:
Université De Sherbrooke, Sherbrooke Québec
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Maeda ([1, p. 29, Problème 1]) pose la question suivante: Est-ce qu'un treillis ⏊-symétrique et relativement semi-orthocomplémenté est nécessairement M-symétrique? Nous donnons une réponse affirmative à cette question.

Soit L un treillis, et a,b,y ∊ L. Si (a,b)M et y≤b, alors (y V a,b)M.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Maeda, F. et Maeda, S., Theory of symmetric lattices, Springer-Verlag, New York, 1970.Google Scholar