On the standard identity in a finitely generated nilpotent algebra \(R\) over an arbitrary field with condition \(\dim R^N/R^{N+1}=2\)

DOI10.33048/SEMI.2019.16.142zbMath1430.16024OpenAlexW3015904138MaRDI QIDQ2285206

Evgeniĭ Petrovich Petrov

Publication date: 16 January 2020

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

Full work available at URL: https://doi.org/10.33048/semi.2019.16.142

zbMATH Keywords

identitiesdefining relationsnilpotent algebra

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