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IMCS/Publications/CSJM/Issues/CSJM v.30, n.2 (89), 2022/

Identities and generalized derivatives of quasigroups

Authors: G. Horosh, N. Malyutina, A. Scerbacova, Şcerbacov Victor
Keywords: quasigroup, quasigroup derivative, generalized quasigroup derivative, partial identity, right unit, left unit, middle unit.

Abstract

We associate a partial (autostrophical) identity with every generalized derivative. We research when a quasigroup that satisfies an autostrophic identity has a unit (left or/and right or/and middle).

Grigorii Horosh 1, Nadeghda Malyutina 2,
Alexandra Scerbacova 3, Victor Shcherbacov 4
1 Ph.D. Student
Moldova State University
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2 Ph.D. Student
Moldova State University
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3Ph.D. Student
Skolkovo Institute of Science and Technology
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4Principal Researcher
Vladimir Andrunachievici Institute of Mathematics and
Computer Science of Moldova
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DOI

https://doi.org/10.56415/csjm.v30.10

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