Locally Subbounded Lattice

A lattice L is locally subbounded if and only if each of its finite subsets is contained in a finitely generated bounded sublattice of L.

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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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.

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Locally Subbounded Lattice

Cite this as:

Insall, Matt. "Locally Subbounded Lattice." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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