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Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, 2009, Volume 151, Book 2, Pages 120–125 (Mi uzku753)  

This article is cited in 6 scientific papers (total in 6 papers)

The XV International Conference "Problems of Theoretical Cybernetics"

Clones, Co-Clones, Hyperclones and Superclones

N. A. Peryazev

Irkutsk State Pedagogical University
Full-text PDF (205 kB) Citations (6)
References:
Abstract: Resolvability operation on set of partial hyperoperations is introduced into consideration. The superclone is defined as algebra with the basic set of partial hyperoperations and two-place operation of substitution, single operations of cyclic shift of arguments, of argument transposition, of argument identification, of resolvability and nullary operations specifying operation of designing and everywhere uncertain operation. The relation of superclones to partial hyperclones, to co-clones, and to clones is studied. The statement about isomorphism of a lattice of superclones and lattice of co-clones over identical sets is proved.
Keywords: resolvability operation, hyperoperation, clone, superclone, partial hyperoperation, partial hyperclone, co-clone, lattice.
Received: 31.03.2009
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: N. A. Peryazev, “Clones, Co-Clones, Hyperclones and Superclones”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151, no. 2, Kazan University, Kazan, 2009, 120–125
Citation in format AMSBIB
\Bibitem{Per09}
\by N.~A.~Peryazev
\paper Clones, Co-Clones, Hyperclones and Superclones
\serial Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki
\yr 2009
\vol 151
\issue 2
\pages 120--125
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku753}
\elib{https://elibrary.ru/item.asp?id=12833150}
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  • https://www.mathnet.ru/eng/uzku/v151/i2/p120
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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    Abstract page:622
    Full-text PDF :245
    References:64
     
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