A lattice 
is locally subbounded if and only if each of its finite subsets is contained
in a finitely generated bounded sublattice of 
.
Every locally bounded lattice is locally subbounded.
Locally Subbounded Lattice
See also
Locally Bounded LatticeThis entry contributed by Matt Insall (author's link)
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References
Grätzer, G. Lattice Theory: First Concepts and Distributive Lattices. San Francisco, CA: W. H. Freeman, 1971.Hobby, D. and McKenzie, R. The Structure of Finite Algebras. Providence, RI: Amer. Math. Soc., 1988.Insall, M. "Some Finiteness Conditions in Lattices Using Nonstandard Proof Methods." J. Austral. Math. Soc. 53, 266-280, 1992.Referenced on Wolfram|Alpha
Locally Subbounded LatticeCite this as:
Insall, Matt. "Locally Subbounded Lattice." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/LocallySubboundedLattice.html