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IMI/Publicaţii/BASM/Ediţii/BASM n2(102), 2023/

On recursive 1-differentiability of the quasigroup prolongations

Authors: Parascovia Syrbu, Cuzneţov Elena
Keywords: recursive derivative, recursively differentiable quasigroup, complete mapping, transversal, prolongations of quasigroups

Abstract

The recursive differentiability of finite binary quasigroups is investigated. We consider the Bruck and Belousov constructions of prolongation of finite quasigroups and give necessary and sufficient conditions when such prolongations are recursively 1-differentiable.

Moldova State University,
60 Mateevici str., Chisinau, MD-2009
Republic of Moldova
E-mail: ,

DOI

https://doi.org/10.56415/basm.y2023.i2.p102

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