Email this article Identities of the Model Algebra of Multiplicity 2
- Authors: Pchelintsev S.V.1,2
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Affiliations:
- Financial University Under the Government of the Russian Federation
- Sobolev Institute of Mathematics
- Issue: Vol 59, No 6 (2018)
- Pages: 1105-1124
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172140
- DOI: https://doi.org/10.1134/S0037446618060149
- ID: 172140
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Abstract
We construct an additive basis of the free algebra of the variety generated by the model algebra of multiplicity 2 over an infinite field of characteristic not 2 and 3. Using the basis we remove a restriction on the characteristic in the theorem on identities of the model algebra (previously the same was proved in the case of characteristic 0). In particular, we prove that the kernel of the relatively free Lie-nilpotent algebra of index 5 coincides with the ideal of identities of the model algebra of multiplicity 2.
About the authors
S. V. Pchelintsev
Financial University Under the Government of the Russian Federation; Sobolev Institute of Mathematics
Author for correspondence.
Email: pchelinzev@mail.ru
Russian Federation, Moscow; Novosibirsk
