latticemorphism
nounA special way of matching up two grids so their order and joining rules stay the same.
The teacher showed how a lattice morphism maps each point of one grid onto the other while keeping the pattern intact.
RELATED WORDS
OTHER MEANINGS
2. In algebra, a function between lattices that preserves both meet and join operations.
Every lattice morphism sends the least upper bound of two elements to the least upper bound of their images.
3. A morphism in the category of lattices, often required to preserve top and bottom elements.
Bounded lattice morphisms must map the top element to the top element and the bottom to the bottom.
4. A map used in order theory to compare the structure of two partially ordered sets that are also lattices.
The researcher proved the map was a lattice morphism by checking it preserved all finite joins and meets.