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Fundam. Prikl. Mat., 2016, Volume 21, Issue 3, Pages 141–159 (Mi fpm1739)  

The structure of isomorphisms of universal hypergraphical automata

V. A. Molchanov

Saratov State University

Abstract: Universal hypergraphical automata are universally attracted objects in the category of automata, for which the set of states and the set of output symbols are equipped with structures of hypergraphs. It was proved earlier that a wide class of such sort of automata are determined up to isomorphism by their semigroups of input symbols. We investigate a connection between isomorphisms of universal hypergraphical automata and isomorphisms of their components: semigroups of input symbols and hypergraphs of states and output symbols.

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English version:
Journal of Mathematical Sciences (New York), 2019, 237:3, 432–444

UDC: 519.713.8+512.53+514.146

Citation: V. A. Molchanov, “The structure of isomorphisms of universal hypergraphical automata”, Fundam. Prikl. Mat., 21:3 (2016), 141–159; J. Math. Sci., 237:3 (2019), 432–444

Citation in format AMSBIB
\Bibitem{Mol16}
\by V.~A.~Molchanov
\paper The structure of isomorphisms of universal hypergraphical automata
\jour Fundam. Prikl. Mat.
\yr 2016
\vol 21
\issue 3
\pages 141--159
\mathnet{http://mi.mathnet.ru/fpm1739}
\transl
\jour J. Math. Sci.
\yr 2019
\vol 237
\issue 3
\pages 432--444
\crossref{https://doi.org/10.1007/s10958-019-04169-1}


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  • Фундаментальная и прикладная математика
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