Algebra in superextensions of groups, II: cancelativity and centers

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2008
• Hauptverfasser: Banakh, T., Gavrylkiv, V.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2008
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/153356
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Algebra in superextensions of groups, II: cancelativity and centers / T. Banakh, V. Gavrylkiv // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 4. — С. 1–14. — Бібліогр.: 10 назв. — англ.

Given a countable group X we study the algebraic structure of its
 superextension λ(X). This is a right-topological semigroup consisting of all maximal linked systems on X endowed with the operation 
 
 A∘B={C⊂X:{x∈X:x−1C∈B}∈A} 
 
 that extends the grou...