Lattice of quasiorders of monounary algebras
Danica Jakubı́ková-Studenovská · Miskolc mathematical notes/Mathematical notes · 2009
For an algebra A, the lattice Quord A of all quasiorders of A, i. e., of all reflexive and transitive relations compatible with all fundamental operations of A, is dealt with.In the present paper we prove that if A is a monounary algebra, then Quord A is distributive if and only if it is modular and we find necessary and sufficient conditions for A under which Quord A is distributive.