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

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Publication:1750755
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DOI10.17377/SEMI.2017.14.099zbMath1391.16026MaRDI QIDQ1750755

Evgeniĭ Petrovich Petrov

Publication date: 23 May 2018

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


zbMATH Keywords

identitiesdefining relationsnilpotent algebra


Mathematics Subject Classification ID

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


Related Items (3)

Defining relations and identities of finite-generated nilpotent algebra \(R\) with condition \(\dim R^N /R^{N+1} = 2\) ⋮ On the standard identity in a finitely generated nilpotent algebra \(R\) over an arbitrary field with condition \(\dim R^N/R^{N+1}=2\) ⋮ On the degree of minimal identity of a finitely generated algebra with a fixed nilpotence index




Cites Work

  • Identities of finite-dimensional nilpotent algebras
  • Defining relations and identities of finite-dimensional nilpotent algebra \(R\) with condition \(\dim\,R^2/R^3 = 2\)
  • Unnamed Item




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