Email this article On the Word Problem in the Free Quasigroups in the Varieties of Quasigroups Isotopic to Groups
- Authors: Glukhov M.M.1
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Affiliations:
- Academy of Cryptography of Russia
- Issue: Vol 223, No 5 (2017)
- Pages: 518-529
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239382
- DOI: https://doi.org/10.1007/s10958-017-3365-9
- ID: 239382
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Abstract
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.
About the authors
M. M. Glukhov
Academy of Cryptography of Russia
Author for correspondence.
Email: glukhovmm@rambler.ru
Russian Federation, Moscow
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