在Kantor产品上，2

IF 1 Q1 MATHEMATICS

Carpathian Mathematical Publications Pub Date : 2022-01-01 DOI:10.15330/cmp.14.2.543-563

Renato Fehlberg J'unior, I. Kaygorodov

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引用次数: 2

摘要

我们描述了乘法的Kantor平方(和Kantor乘积)，扩展了[J]中提出的分类。代数应用，2017,16(9)，1750167]。此外，我们显式地描述了一些低维代数的Kantor平方，并给出了新的转置泊松代数和泊松-诺维科夫代数的构造方法;以及对给定代数上的泊松结构和交换后李结构进行分类。

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On the Kantor product, II

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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来源期刊

Carpathian Mathematical Publications MATHEMATICS-

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

25 weeks