Geodesic
On the word problem in the free quasigroups in the varieties of quasigroups isotopic to groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 1, pp. 39-55

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We consider the quasigroup varieties that are isotopic closures of the appropriate group varieties. We give the conditions for the word problem to be positively solvable simultaneously in the free algebras of the varieties of quasigroups and the corresponding groups. 
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     author = {M. M. Glukhov},
     title = {On the word problem in the free quasigroups in the varieties of quasigroups isotopic to groups},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {39--55},
     publisher = {mathdoc},
     volume = {20},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2015_20_1_a4/}
}
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M. M. Glukhov. On the word problem in the free quasigroups in the varieties of quasigroups isotopic to groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 1, pp. 39-55. http://geodesic.mathdoc.fr/item/FPM_2015_20_1_a4/