sublattice

Noun

Meaning

(mathematics) A nonempty subset of a lattice.

(mineralogy) Any of several independent lattices present in a crystal.

Examples

Complete sublattices A sublattice M of a complete lattice L is called a complete sublattice of L if for every subset A of M the elements A and A, as defined in L, are actually in M. Burris, Stanley N., and H.P. Sankappanavar, H. P., 1981. Source: Internet

If the above requirement is lessened to require only non-empty meet and joins to be in L, the sublattice M is called a closed sublattice of M. Examples * Any non-empty finite lattice is trivially complete. Source: Internet

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