Classification of finite semigroups for which the inverse monoid of local automorphisms is a Δ-semigroup
Author
Derech, V. D.
Дереч, В. Д.
Date
2019Metadata
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- Наукові роботи каф. ВМ [632]
Abstract
A semigroup S is called a ∆-semigroup if the lattice of its congruences forms a chain relative
to the inclusion. A local automorphism of the semigroup S is defined as an isomorphism between its
two subsemigroups. The set of all local automorphisms of the semigroup S relative to the operation of
composition forms an inverse monoid of local automorphisms. In the current paper we present a classification
of all finite semigroups for which the inverse monoid of local automorphisms is a ∆-semigroup.
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http://ir.lib.vntu.edu.ua//handle/123456789/35705