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On congruences of groupoids closely connected with quasigroups

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Abstract

Conditions when a congruence of a left (right) division groupoid and a left (right) cancellation groupoid is closed (“normal”) are given. Conditions for the simplicity of the above-mentioned groupoids are obtained.

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Authors and Affiliations

  1. Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Academiei str. 5, Chişinău, MD-2028, Moldova

    V. A. Shcherbacov & D. I. Puşcaşu

  2. Faculty of Mechanics and Mathematics, Department of Higher Mathematics, Tajik National State University, Rudaki Avenue 17, 734017, Dushanbe, Tajikistan

    A. Kh. Tabarov

Authors
  1. V. A. Shcherbacov
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  2. A. Kh. Tabarov
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  3. D. I. Puşcaşu
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Correspondence to V. A. Shcherbacov.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 14, No. 5, pp. 237–251, 2008.

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Shcherbacov, V.A., Tabarov, A.K. & Puşcaşu, D.I. On congruences of groupoids closely connected with quasigroups. J Math Sci 163, 785–795 (2009). https://doi.org/10.1007/s10958-009-9716-4

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