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 K of algebraic structures, each subsemigroup latticeof the semigroup of elementary types ofthe structures from K contains the ideal lattice of a free lattice of countable rank as a sublattice.
|Number of pages||12|
|Journal||Siberian Mathematical Journal|
|Publication status||Published - 1 Sep 2020|
- elementary type