On the Kantor product, II

  • R. Fehlberg Júnior Federal University of Espírito Santo, Av. Fernando Ferrari, 514, Goiabeiras, Vitória - ES, Brazil
  • I. Kaygorodov University of Beira Interior, Covilhã, Portugal
Keywords: Kantor product, Kantor square, non-associative algebra
Published online: 2022-12-30

Abstract


We describe the Kantor square (and Kantor product) of multiplications, extending the classification proposed in [J. Algebra Appl. 2017, 16 (9), 1750167]. Besides, we explicitly describe the Kantor square of some low dimensional algebras and give constructive methods for obtaining new transposed Poisson algebras and Poisson-Novikov algebras; and for classifying Poisson structures and commutative post-Lie structures on a given algebra.

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How to Cite
(1)
Fehlberg JúniorR., Kaygorodov I. On the Kantor Product, II. Carpathian Math. Publ. 2022, 14 (2), 543-563.