On the degree of minimal identity of a finitely generated algebra with a fixed nilpotence index

DOI10.33048/SEMI.2019.16.071zbMath1423.16025OpenAlexW3015819201MaRDI QIDQ2331116

Evgeniĭ Petrovich Petrov

Publication date: 25 October 2019

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2019.16.071

zbMATH Keywords

generatorsnilpotent algebraidentity

Mathematics Subject Classification ID

(T)-ideals, identities, varieties of associative rings and algebras (16R10)

Cites Work

• Defining relations and identities of finite-generated nilpotent algebra \(R\) with condition \(\dim R^N /R^{N+1} = 2\)
• Structure, defining relations and identities of finite-dimensional nilpotent algebra \(R\) with condition \(\dim R^N/R^{N+1}=2\)
• Defining relations and identities of finite-dimensional nilpotent algebra \(R\) with condition \(\dim\,R^2/R^3 = 2\)
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