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On the topological rank of the variety of right alternative metabelian Lie-nilpotent algebras

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Autor(es):
Kuz'min, Alexey
Número total de Autores: 1
Tipo de documento: Artigo Científico
Fonte: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 14, n. 10 DEC 2015.
Citações Web of Science: 1
Resumo

In 1981, S. V. Pchelintsev introduced the notion of topological rank for Spechtian varieties of algebras as a certain tool for studying the structure of non-nilpotent subvarieties in a given variety. We provide a variety of right alternative algebras of arbitrary given finite topological rank. Namely, we prove that the topological rank of the variety of right alternative metabelian (solvable of index two) algebras that are Lie-nilpotent of step not more than s over a field of characteristic distinct from two and three is equal to s. (AU)

Processo FAPESP: 10/51880-2 - On finite basis property for varieties of nearly associative algebras.
Beneficiário:Alexey Kuzmin
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado