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Completeness in Semi-Lattices

Published online by Cambridge University Press:  20 November 2018

L. E. Ward Jr.
L. E. Ward Jr.*
Affiliation:
U.S. Naval Ordnance Test Station China Lake, California
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Let (X, ≤) be a partially ordered set, that is, X is a set and ≤ is a reflexive, anti-symmetric, transitive, binary relation on X.

We write

,

for each x ∈ X. If, moreover,

exists for each x and y in X, then (X, ≤) is said to be a semi-lattice.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 9 , 1957 , pp. 578 - 582
Copyright
Copyright © Canadian Mathematical Society 1957

References

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