Identities and generalized derivatives of quasigroups
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2022-09-18 12:42
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HOROSH, Grigorii; MALYUTINA, Nadezhda; SCHERBAKOVA, Alexandra; SHCHERBACOV, Victor. Identities and generalized derivatives of quasigroups. In: Computer Science Journal of Moldova. 2022, nr. 2(89), pp. 170-186. ISSN 1561-4042.
10.56415/csjm.v30.10
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Computer Science Journal of Moldova
Numărul 2(89) / 2022 / ISSN 1561-4042

Identities and generalized derivatives of quasigroups

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

Pag. 170-186

Horosh Grigorii1, Malyutina Nadezhda1, Scherbakova Alexandra2, Shcherbacov Victor3
 
1 State University of Moldova,
2 Skolkovo Institute of Science and Technology,
3 Vladimir Andrunachievici Institute of Mathematics and Computer Science
 
Disponibil în IBN: 6 august 2022


Rezumat

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). 

Cuvinte-cheie
generalized quasigroup derivative, left unit, middle unit, partial identity, quasigroup, quasigroup derivative, right unit