Identities and generalized derivatives of quasigroups

Horosh Grigorii; Malyutina Nadezhda; Scherbakova Alexandra; Shcherbacov Victor

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288

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2023-10-09 15:17

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512.548.74 (1)

Algebra (400)

SM ISO690:2012

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

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Computer Science Journal of Moldova

Numărul 2(89) / 2022 / ISSN 1561-4042 /ISSNe 2587-4330

Identities and generalized derivatives of quasigroups

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

CZU: 512.548.74

MSC 2010: 20N05, 68R05.

Pag. 170-186

Horosh Grigorii¹, Malyutina Nadezhda¹, Scherbakova Alexandra², Shcherbacov Victor³

¹ Moldova State University,
² Skolkovo Institute of Science and Technology,
³ Vladimir Andrunachievici Institute of Mathematics and Computer Science

Disponibil în IBN: 6 august 2022

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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

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<dc:creator>Horoş, G.A.</dc:creator>
<dc:creator>Maliutina, N.N.</dc:creator>
<dc:creator>Şcerbacova, A.G.</dc:creator>
<dc:creator>Şcerbacov, V.A.</dc:creator>
<dc:date>2022-08-01</dc:date>
<dc:description xml:lang='en'><p>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).&nbsp;</p></dc:description>
<dc:identifier>10.56415/csjm.v30.10</dc:identifier>
<dc:source>Computer Science Journal of Moldova 89 (2) 170-186</dc:source>
<dc:subject>generalized quasigroup derivative</dc:subject>
<dc:subject>left unit</dc:subject>
<dc:subject>middle unit</dc:subject>
<dc:subject>partial identity</dc:subject>
<dc:subject>quasigroup</dc:subject>
<dc:subject>quasigroup derivative</dc:subject>
<dc:subject>right unit</dc:subject>
<dc:title>Identities and generalized derivatives of quasigroups</dc:title>
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