ON REGULAR PARAMEDIAL DIVISION ALGEBRAS

David N. Harutyunyan

doi:10.46991/PYSU:A/2022.56.3.107

Authors

David N. Harutyunyan Chair of Algebra and Geometry, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2022.56.3.107

Keywords:

hyperidentities, regular division groupoids, paramedial groupoids, n-ary groupoids, quasiendomorphisms

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].

References

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