Abstract: Vladimir Repnitski

ON THE REPRESENTATION OF LATTICES BY SUBALGEBRA LATTICES

          

           For a universal algebra A, we denote by Sub A the lattice of all subalgebras of A. Given a class K of algebras, we call a lattice L representable by the subalgebra lattice of an algebra from K if L is embeddable in Sub A for some algebra A 2 K. In our talk we review some recent results concerning the problem of representation of lattices by subalgebra lattices in cases of groups, semigroups, rings etc.