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math.RAFeb 1, 2024
3
citations (OpenAlex)
authors
  • Kobiljon Abdurasulov
  • Ivan Kaygorodov
  • Abror Khudoyberdiyev
institutions
  • Academy of Sciences Republic of Uzbekistan
  • National University of Uzbekistan
  • St Petersburg University
  • University of Beira Interior
arXiv abstractPDF
paper

The algebraic classification of nilpotent Novikov algebras

arXiv:2402.00419 · doi:10.2298/FIL2320617A

Abstract

This paper is devoted to the complete algebraic classification of complex 5-dimensional nilpotent Novikov algebras.

arXiv commentarXiv admin note: substantial text overlap with arXiv:2307.00289, arXiv:2004.03598, arXiv:2205.00444, arXiv:2206.00315, arXiv:1812.01442, arXiv:2106.00336, arXiv:2111.00785, arXiv:2308.00374

References in corpus (10)

  • The algebraic and geometric classification of nilpotent Novikov algebras
  • The algebraic and geometric classification of nilpotent terminal algebras
  • Non-associative central extensions of null-filiform associative algebras
  • Classification of bilinear maps with radical of codimension 2
  • On free Gelfand-Dorfman-Novikov-Poisson algebras and a PBW theorem
  • The variety of dual mock-Lie algebras
  • The algebraic and geometric classification of transposed Poisson algebras
  • The algebraic classification of nilpotent algebras
  • Polynomial identities in Novikov algebras
  • One-generated nilpotent Novikov algebras
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