2019
Том 71
№ 8

# Structure of a finite commutative inverse semigroup and a finite bundle for which the inverse monoid of local automorphisms is permutable

Derech V. D.

Abstract

For a semigroup $S$, the set of all isomorphisms between subsemigroups of $S$ is an inverse monoid with respect to composition, which is denoted by $P A(S)$ and is called the monoid of local automorphisms of $S$. A semigroup $S$ is called permutable if, for any pair of congruences $p, \sigma$ on $S$, one has $p \circ \sigma = \sigma \circ p$. We describe the structure of a finite commutative inverse semigroup and a finite band whose monoids of local automorphisms are permutable.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 9, pp 1390-1399.

Citation Example: Derech V. D. Structure of a finite commutative inverse semigroup and a finite bundle for which the inverse monoid of local automorphisms is permutable // Ukr. Mat. Zh. - 2011. - 63, № 9. - pp. 1218-1226.

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