On the Kantor product, II

Autor: R. Fehlberg Júnior, I. Kaygorodov
Jazyk: English<br />Ukrainian
Rok vydání: 2022
Předmět:
Zdroj: Karpatsʹkì Matematičnì Publìkacìï, Vol 14, Iss 2, Pp 543-563 (2022)
Druh dokumentu: article
ISSN: 2075-9827
2313-0210
DOI: 10.15330/cmp.14.2.543-563
Popis: 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.
Databáze: Directory of Open Access Journals