@article{Derech_2016, title={Complete classification of finite semigroups for which the inverse monoid of
local automorphisms is a permutable semigroup}, volume={68}, url={http://umj.imath.kiev.ua/index.php/umj/article/view/1943}, abstractNote={A semigroup $S$ is called permutable if $\rho \circ \sigma = \sigma \circ \rho$. for any pair of congruences $\rho, \sigma$ on $S$. A local automorphism of semigroup $S$ is defined as an isomorphism between two of its subsemigroups. The set of all local automorphisms of the semigroup $S$ with respect to an ordinary operation of composition of binary relations forms an inverse monoid of local automorphisms. We present a complete classification of finite semigroups for which the inverse monoid of local
automorphisms is permutable.
}, number={11}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={DerechV. D.}, year={2016}, month={Nov.}, pages={1571-1578} }