Exponents of Finite Simple Lattices
Brian Davey, Dwight Duffus, Robert W. Quackenbush, Ivan Rival · Journal of the London Mathematical Society · 1978
In the late 1930's Garrett Birkhoff [3] pioneered the theory of distributive lattices. An important component in this theory is the concept of exponentiation of lattices [4]: for a lattice L and a partially ordered set P let L p denote the set of all order-preserving maps of P to L partially ordered by / ^ g if and only if/(;c) ^ g(x) for each x e P (see