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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 4, Pages 61–73 (Mi ivm8792)  
Operads of hypergraphs

S. N. Tronin, R. N. Tuktamyshov

Chair of Algebra and Mathematical Logic, Kazan (Volga Region) Federal University, Kazan, Russia
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Abstract: We construct two countable collections of operads of many-dimensional cubic matrices. In every operad from one of these collections we select a suboperad such that its elements can be interpreted as some hypergraphs. We prove that all these suboperads are $Epi$-operads.
Keywords: operad, verbal category, hypergraph.
Received: 04.03.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 4, Pages 52–62
DOI: https://doi.org/10.3103/S1066369X13040063
Bibliographic databases:
Document Type: Article
UDC: 512.565
Language: Russian
Citation: S. N. Tronin, R. N. Tuktamyshov, “Operads of hypergraphs”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 4, 61–73; Russian Math. (Iz. VUZ), 57:4 (2013), 52–62
Citation in format AMSBIB
\Bibitem{TroTuk13}
\by S.~N.~Tronin, R.~N.~Tuktamyshov
\paper Operads of hypergraphs
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 4
\pages 61--73
\mathnet{http://mi.mathnet.ru/ivm8792}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 4
\pages 52--62
\crossref{https://doi.org/10.3103/S1066369X13040063}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84876273580}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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