Geodesic
A geometric approach to universal quasigroup identities
Archivum mathematicum, Tome 29 (1993) no. 1-2, pp. 97-103.

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In the present paper we construct the accompanying identity I^ of a given quasigroup identity I. After that we deduce the main result: I is isotopically invariant (i.e., for every guasigroup Q it holds that if I is satisfied in Q then I is satisfied in every quasigroup isotopic to Q) if and only if it is equivalent to I^ (i.e., for every quasigroup Q it holds that in Q either I,I^ are both satisfied or both not).
Classification : 05B30, 20N05
Mots-clés : 3-webs and their coordinatizing quasigroups; isotopic quasigroups and loops; identities invariant under isotopies; accompanying identities 
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     author = {Havel, V. J.},
     title = {A geometric approach to universal quasigroup identities},
     journal = {Archivum mathematicum},
     pages = {97--103},
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     volume = {29},
     number = {1-2},
     year = {1993},
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     zbl = {0797.05025},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/ARM_1993__29_1-2_a11/}
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Havel, V. J. A geometric approach to universal quasigroup identities. Archivum mathematicum, Tome 29 (1993) no. 1-2, pp. 97-103. https://geodesic-test.mathdoc.fr/item/ARM_1993__29_1-2_a11/