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Algebra i logika, 2010, Volume 49, Number 4, Pages 479–497 (Mi al450)  
This article is cited in 2 scientific papers (total in 2 papers)

An equational theory for a nilpotent $A$-loop

A. V. Kowalskia, V. I. Ursubc

a Creanga State Pedagogical University, Chisinau, Republic of Moldova
b Technical University of Moldova, Chisinau, Republic of Moldova
c Institute of Mathematics of the Romanian Academy, Bucharest, Romania
Full-text PDF (197 kB) Citations (2)
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Abstract: 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 [Mat. Sb., 69(111), № 1 (1966), 3–12] is answered in the negative, and moreover, a finitely presented nilpotent $A$-loop has a decidable word problem.
Keywords: equational theory, nilpotent $A$-loop, word problem.
Received: 09.11.2009
English version:
Algebra and Logic, 2010, Volume 49, Issue 4, Pages 326–339
DOI: https://doi.org/10.1007/s10469-010-9099-0
Bibliographic databases:
Document Type: Article
UDC: 512.548.77+512.572
Language: Russian
Citation: A. V. Kowalski, V. I. Ursu, “An equational theory for a nilpotent $A$-loop”, Algebra Logika, 49:4 (2010), 479–497; Algebra and Logic, 49:4 (2010), 326–339
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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    		Алгебра и логика Algebra and Logic
     
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