Algebra in superextensions of groups, I: zeros and commutativity
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 extends the group operation of X. We characterize right zeros of...
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| Datum: | 2008 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2008
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| Schriftenreihe: | Algebra and Discrete Mathematics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/153373 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |