Algebra in superextensions of groups, I: zeros and commutativity

Given a group \(X\) we study the algebraic structure of its superextension \(\lambda(X)\). This is a right-topological semigroup consisting of all maximal linked systems on \(X\) endowed with the operation   \(\mathcal A\circ\mathcal B=\{C\subset X:\{x\in X:x^{-1}C\in\mathcal B\}\in\mathcal A\}\)  t...

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Bibliographic Details
Date:2018
Main Authors: T. Banakh, T., Gavrylkiv, V., Nykyforchyn, O.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/815
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics