ON PARASTROPHES OF ABELIAN INVERTIBLE ALGEBRAS

S. S. Davidov

doi:10.46991/PYSU:A/2008.42.3.039

ON PARASTROPHES OF ABELIAN INVERTIBLE ALGEBRAS

Authors

S. S. Davidov Chair of Algebra and Geometry, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2008.42.3.039

Keywords:

parastrophes, Abelian invertible algebras, quasigroup, hyperidentity

Abstract

In the present paper we have proved that parastrophes of the Abelian invertible algebras are also Abelian, in particular, every Abelian (medial) quasigroup satisfies the Abelian hyperidentity.

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Published

2023-10-06

How to Cite

Davidov, S. S. (2023). ON PARASTROPHES OF ABELIAN INVERTIBLE ALGEBRAS. Proceedings of the YSU A: Physical and Mathematical Sciences, 42(3 (217), 39–43. https://doi.org/10.46991/PYSU:A/2008.42.3.039