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Even every Join-extension solves a Universal problem

Published online by Cambridge University Press:  09 April 2009

Isidore Fleischer
Isidore Fleischer
Affiliation:
Université de MontrealCase Postale 6128 Montreal H3C 3J7, Canada.
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Abstract

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Generalization to arbitrary join-extensions of a poset of a recent characterization of those which are complete lattices.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 21 , Issue 2 , March 1976 , pp. 220 - 223
Copyright
Copyright © Australian Mathematical Society 1976

References

Birkhoff, G. (1948), Lattice theory (A.M.S. Colloq. Pub. v. 25.)Google Scholar
Jaffard, P. (1960), Les Systèmes d'Idéaux, (Dunod, Paris).Google Scholar
Pierce, P. S. (1968), Introduction to the Theory of Abstract Algebras, (New York).Google Scholar
Schmidt, J. (1974), ‘Each join-completion of a partially ordered set is the solution of a universal problem’, J. Austral. Math. Soc. 17, 406–413.CrossRefGoogle Scholar