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Commutator identities of the homotopes of \((-1, 1)\)-algebras

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Publication:350857
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DOI10.1134/S0037446613020158zbMath1276.17020MaRDI QIDQ350857

Sergey V. Pchelintsev

Publication date: 3 July 2013

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

identity\((-1,1)\)-algebraMalcev algebraFilippov identityhomotopenilpotency.


Mathematics Subject Classification ID

Mal'tsev rings and algebras (17D10) ((gamma, delta))-rings, including ((1,-1))-rings (17D20)


Related Items (5)

Central isotopes of \((-1,1) \)-algebras ⋮ Isotopes of alternative algebras of characteristic different from ⋮ Prime algebras connected with monsters ⋮ The isotopically simple algebras with a nil-basis ⋮ Isotopes of simple algebras of arbitrary dimension




Cites Work

  • Unnamed Item
  • Isotopes of prime \((-1,1)\)- and Jordan algebras
  • On the variety of algebras of type (-1,1)
  • Variety generated by a free algebra of type (-1,1) and of rank 2
  • Prime Mal'tsev algebras
  • Semiprimary Mal'tsev algebras of characteristic 3
  • Centers of a free (-1,1) ring
  • The characterization of (-1,1) rings
  • Malcev Algebras
  • PRIME ALGEBRAS AND ABSOLUTE ZERO DIVISORS
  • Right Alternative Rings




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