Algebra in superextensions of groups, II: cancelativity and centers

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 group operation of X. We show that the subse...

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Published in:Algebra and Discrete Mathematics
Date:2008
Main Authors: Banakh, T., Gavrylkiv, V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2008
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/153356
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine