Classification of finite semigroups for which the inverse monoid of local automorphisms is a Δ-semigroup
Keywords:
Inverse monoid of local automorphisms of a finite semigroup, Δ-semigroup, congruence-permutable semigroupAbstract
A local automorphism of the semigroup S is defined as an isomorphism between two subsemigroups of this semigroup. The set of all local automorphisms of the semigroup S with
respect to the ordinary operation of composition of binary relations forms an inverse monoid
of local automorphisms.
References
V. Derech, Complete classifiction of finite semigroups for which the inverse monoid of local automorphisms is a permutal semigroup, Ukr. Mat. Zh. 68(2016), no. 11, 1571-1578.
V. Derech, Structure of a finite commutative inverse semigroup and a finite band for which the inverse monoid of local automorphisms is permutable, Ukr. Mat. Zh. 63(2011), no. 9, 1218-1226.
V. Derech, Classification of finite nilsemigroups for which the inverse monoid of local automorphisms is permutable semigroup, Ukr. Mat. Zh. 68(2016), no. 5, 610-624.
