ABSTRACT
Sometimes the lattice of subalgebras or the lattice of ideals of an algebra are studied in order to get information about the algebra itself. This is also the case with other algebraic structures. This chapter examines Bernstein algebras whose lattice of ideals is distributive. It gives some general facts about ideals of a Bernstein algebra. The chapter reviews trivial Bernstein algebras and normal Bernstein algebras; the only normal Bernstein algebra that is not trivial and has a distributive lattice of ideals has a linear lattice of ideals.
