Algebra in superextensions of groups, I: zeros and commutativity

• Published in: Algebra and Discrete Mathematics
• Date: 2008
• ISSN: 1726-3255
• Main Authors: Banakh, T.T., Gavrylkiv, V., Nykyforchyn, O.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/153373
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Algebra in superextensions of groups, I: zeros and commutativity / T.T. Banakh, V. Gavrylkiv, O. Nykyforchyn // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 3. — С. 1–29. — Бібліогр.: 13 назв. — англ.

Given a 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...