Abstract:
Under study is the structure of subsemigroup lattices of semigroups of elementary types. We establish that the subsemigroup lattices of semigroups of elementary types are lattice-universal. Also, we show that, for a series of classes ${\bold K}$ of algebraic structures, each subsemigroup lattice of the semigroup of elementary types of the structures from ${\bold K}$ contains the ideal lattice of a free lattice of countable rank as a sublattice.
Fulltext:
PDF file (533 kB)
