lattice-preserving map
nounA rule that keeps the order of things the same when you move them from one group to another.
In algebra class, we learned that a lattice-preserving map keeps the meet and join of any two elements intact.
RELATED WORDS
OTHER MEANINGS
2. A function between two lattices that preserves both the meet and join operations.
The identity function on any lattice is a lattice-preserving map.
3. A structure-preserving mapping used in order theory to compare two partially ordered sets that are lattices.
Researchers used a lattice-preserving map to relate the two algebraic structures.
4. In computer science, a function that maintains the lattice structure of a data domain, often used in abstract interpretation.
The compiler's analysis relied on a lattice-preserving map to keep the abstract states consistent.