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.

## See also

Locally Bounded Lattice
*This 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 Lattice
## Cite this as:

Insall, Matt. "Locally Subbounded Lattice." From *MathWorld*--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/LocallySubboundedLattice.html

## Subject classifications