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2-Supernilpotent Mal’cev algebras
In this note we prove that a Mal’cev algebra is 2-supernilpotent ([1, 1, 1] = 0) if and only if it is polynomially equivalent to a special expanded group. This generalizes Gumm’s result that a Mal’cev algebra is abelian if and only if it is polynomially equivalent to a module over a ring.
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Springer Vienna
2013
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4371078/ https://www.ncbi.nlm.nih.gov/pubmed/25814774 http://dx.doi.org/10.1007/s00605-013-0541-y |