TY - JOUR
AU - V. D. Derech
PY - 2016/11/25
Y2 - 2021/01/22
TI - Complete classification of finite semigroups for which the inverse monoid of
local automorphisms is a permutable semigroup
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 68
IS - 11
SE - Short communications
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1943
AB - 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 localautomorphisms is permutable.
ER -