Abstract
We describe normal congruences of group isotopes, establish criteria of homomorphism and isomorphism, and select the methods for description of isotopes up to isomorphism. In addition, we establish a criterion for a subset to be a subquasigroup of a group isotope and describe subquasigroups of certain classes of group isotopes. The obtained results are applied to the investigation of left distributive quasi-groups.
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References
F M. Sokhatskii, “On isotopes of groups. II,” Ukr. Mat. Zh., 47, No. 12, 1692–1703 (1995).
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Sokhatskii, F.M. On Isotopes of Groups. III. Ukr Math J 48, 283–293 (1996). https://doi.org/10.1007/BF02372052
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DOI: https://doi.org/10.1007/BF02372052