Automorphism groups of superextensions of finite monogenic semigroups

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2019
• Hauptverfasser: Banakh, T.O., Gavrylkiv, V.M.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2019
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/188431
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Automorphism groups of superextensions of finite monogenic semigroups / T.O. Banakh, V.M. Gavrylkiv // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 2. — С. 165–190. — Бібліогр.: 24 назв. — англ.

A family L of subsets of a set X is called linked if A ∩ B ≠ ∅ 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 operat...