Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/4388
Title: Automorphism groups of superextensions of finite monogenic semigroups
Authors: Banakh, T.
Gavrylkiv, V.
Keywords: monogenic semigroup
maximal linked upfamily
superextension
automorphism group
Issue Date: 2019
Abstract: A family L of subsets of a set X is called linked if A ∩ B 6= ∅ for any A, B ∈ L. A linked family M of subsets of X is maximal linked if M coincides with each linked family L on X that contains M. The superextension λ(X) of X consists of all maximal linked families on X. Any associative binary operation ∗ : X × X → X can be extended to an associative binary operation ∗ : λ(X) × λ(X) → λ(X). In the paper we study automorphisms of the superextensions of finite monogenic semigroups and charac- teristic ideals in such semigroups. In particular, we describe the automorphism groups of the superextensions of finite monogenic semigroups of cardinality 6 5.
Description: Banakh T. Automorphism groups of superextensions of finite monogenic semigroups / T.Banakh , V. Gavrylkiv // Algebra and Discrete Mathematics. - 2019. - Vol. 27. - Number 2. - Рp.165-190
URI: http://hdl.handle.net/123456789/4388
Appears in Collections:Algebra and Discrete Mathematics. - № 2 (27). - 2019

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