Complete classification of finite semigroups for which the inverse monoid of local automorphisms is a permutable semigroup

• Date: 2016
• Main Authors: Derech, V. D., Дереч, В. Д.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1943
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 $S$ wi...