Derech, V. D. “Classification of Finite Nilsemigroups for Which the Inverse Monoid of Local Automorphisms Is Permutable Semigroup”.
Ukrains’kyi Matematychnyi Zhurnal, vol. 68, no. 5, May 2016, pp. 610-24,
https://umj.imath.kiev.ua/index.php/umj/article/view/1865.