Semidistributive inverse semigroups
Katherine G. Johnston-Thom, Peter R. Jones · Journal of the Australian Mathematical Society · 2001
Abstract An inverse semigroupSis said to be meet (join) semidistributive if its lattice (S) of full inverse subsemigroups is meet (join) semidistributive. We show that every meet (join) semidistributive inverse semigroup is in fact distributive.