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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2022, Volume 56, Issue 3, Pages 107–115
DOI: https://doi.org/10.46991/PYSU:A/2022.56.3.107 (Mi uzeru981) 		 
Mathematics

On regular paramedial division algebras

D. N. Harutyunyan

Yerevan State University, Faculty of Mathematics and Mechanics
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DOI: https://doi.org/10.46991/PYSU:A/2022.56.3.107
Abstract: In this paper $n$-ary regular division algebras are discussed, which are satisfying the hyperidentity of paramediality. It is shown that every operation in $n$-ary regular paramedial division algebra will be linearly represented over the same Abelian group. Similar results already obtained for regular medial division algebras in [1].
Keywords: hyperidentities, regular division groupoids, paramedial groupoids, $n$-ary groupoids, quasiendomorphisms.
Received: 29.07.2022
Revised: 05.09.2022
Accepted: 26.09.2022
Document Type: Article
MSC: Primary 03C05; Secondary 03C85, 20N05
Language: English
Citation: D. N. Harutyunyan, “On regular paramedial division algebras”, Proceedings of the YSU, Physical and Mathematical Sciences, 56:3 (2022), 107–115
Citation in format AMSBIB
\Bibitem{Har22}
\by D.~N.~Harutyunyan
\paper On regular paramedial division algebras
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2022
\vol 56
\issue 3
\pages 107--115
\mathnet{http://mi.mathnet.ru/uzeru981}
\crossref{https://doi.org/10.46991/PYSU:A/2022.56.3.107}
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