Identities and generalized derivatives of quasigroups

Grigorii Horosh; Nadeghda Malyutina; Alexandra Scerbacova; Victor Shcherbacov

doi:10.56415/csjm.v30.10

Identities and generalized derivatives of quasigroups

Grigorii Horosh, Nadeghda Malyutina, Alexandra Scerbacova, Victor Shcherbacov

Research output: Contribution to journal › Article › peer-review

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).

Original language	English
Pages (from-to)	170-186
Number of pages	17
Journal	Computer Science Journal of Moldova
Volume	30
Issue number	2
DOIs	https://doi.org/10.56415/csjm.v30.10
State	Published - 2022
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2022 by CSJM; G. Horosh, N. Malyutina, A. Scerbacova, V. Shcherbacov

Keywords

generalized quasigroup derivative
left unit
middle unit
partial identity
quasigroup
quasigroup derivative
right unit

ASJC Scopus subject areas

Software
Modeling and Simulation
Computer Science Applications
Computer Networks and Communications
Control and Optimization
Computational Theory and Mathematics
Computational Mathematics
Artificial Intelligence

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10.56415/csjm.v30.10

Cite this

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title = "Identities and generalized derivatives of quasigroups",

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).",

keywords = "generalized quasigroup derivative, left unit, middle unit, partial identity, quasigroup, quasigroup derivative, right unit",

author = "Grigorii Horosh and Nadeghda Malyutina and Alexandra Scerbacova and Victor Shcherbacov",

note = "Publisher Copyright: {\textcopyright} 2022 by CSJM; G. Horosh, N. Malyutina, A. Scerbacova, V. Shcherbacov",

year = "2022",

doi = "10.56415/csjm.v30.10",

language = "English",

volume = "30",

pages = "170--186",

journal = "Computer Science Journal of Moldova",

issn = "1561-4042",

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T1 - Identities and generalized derivatives of quasigroups

AU - Horosh, Grigorii

AU - Malyutina, Nadeghda

AU - Scerbacova, Alexandra

AU - Shcherbacov, Victor

PY - 2022

Y1 - 2022

N2 - 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).

AB - 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).

KW - generalized quasigroup derivative

KW - left unit

KW - middle unit

KW - partial identity

KW - quasigroup

KW - quasigroup derivative

KW - right unit

UR - https://www.scopus.com/pages/publications/85134630486

U2 - 10.56415/csjm.v30.10

DO - 10.56415/csjm.v30.10

M3 - Article

AN - SCOPUS:85134630486

SN - 1561-4042

VL - 30

SP - 170

EP - 186

JO - Computer Science Journal of Moldova

JF - Computer Science Journal of Moldova

IS - 2

ER -

Identities and generalized derivatives of quasigroups

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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