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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 | ||||||
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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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<meta name="citation_title" content="An equational theory for a nilpotent A-loop"> <meta name="citation_author" content="Kowalski A."> <meta name="citation_author" content="Ursu Vasile"> <meta name="citation_publication_date" content="2010/11/01"> <meta name="citation_journal_title" content="Algebra and Logic"> <meta name="citation_firstpage" content="326"> <meta name="citation_lastpage" content="339"> <meta name="citation_pdf_url" content="https://ibn.idsi.md/sites/default/files/imag_file/s10469-010-9099-0.pdf">
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