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The Algebraic Classification of Nilpotent Bicommutative Algebras

Author

Listed:
  • Kobiljon Abdurasulov

    (Institute of Mathematics Academy of Sciences of Uzbekistan, Tashkent 100047, Uzbekistan)

  • Ivan Kaygorodov

    (CMA-UBI, Universidade da Beira Interior, 6200-001 Covilhã, Portugal
    Moscow Center for Fundamental and Applied Mathematics, 119991 Moscow, Russia
    Saint Petersburg State University, 199034 St. Petersburg, Russia)

  • Abror Khudoyberdiyev

    (Institute of Mathematics Academy of Sciences of Uzbekistan, Tashkent 100047, Uzbekistan
    National University of Uzbekistan, Tashkent 100174, Uzbekistan)

Abstract

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

Suggested Citation

  • Kobiljon Abdurasulov & Ivan Kaygorodov & Abror Khudoyberdiyev, 2023. "The Algebraic Classification of Nilpotent Bicommutative Algebras," Mathematics, MDPI, vol. 11(3), pages 1-49, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:3:p:777-:d:1056812
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