A sublattice generated by a subset is the smallest sublattice that contains all the elements of that subset within a given lattice. This concept highlights how subsets can form new structures that maintain the properties of the original lattice, particularly closure under the lattice operations of meet (greatest lower bound) and join (least upper bound). Understanding this helps in analyzing how different subsets can interact and combine to create new lattice forms.
congrats on reading the definition of sublattice generated by subset. now let's actually learn it.