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 SM ISO690:2012KOWALSKI, A., URSU, Vasile. An equational theory for a nilpotent A-loop. In: Algebra and Logic, 2010, vol. 49, pp. 326-339. ISSN 0002-5232. DOI: https://doi.org/10.1007/s10469-010-9099-0 |
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  Algebra and Logic |
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| Volumul 49 / 2010 / ISSN 0002-5232 /ISSNe 1573-5232 | ||||||
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| DOI:https://doi.org/10.1007/s10469-010-9099-0 | ||||||
| Pag. 326-339 | ||||||
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It is shown that a variety generated by a nilpotent A-loop has a decidable equational (quasiequational) theory. Thereby the question posed by A. I. Mal'tsev in [6] is answered in the negative, and moreover, a finitely presented nilpotent A-loop has a decidable word problem. |
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| Cuvinte-cheie equational theory, nilpotent A-loop, Word problem |
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