homh -pre- jordan代数和homj -树形代数的构造

Q3 Mathematics

Extracta Mathematicae Pub Date : 2020-07-02 DOI:10.17398/2605-5686.38.1.27

T. Chtioui, S. Mabrouk, A. Makhlouf

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引用次数: 0

摘要

本工作的目的是介绍和研究推广Hom-Jordan代数的Hom-pre-Jordinal代数和Hom-J德里形式代数的概念。Hom-pre-Jordan代数被认为是本文引入的Rota-Baxter算子和O-算子后面的Hom-Jordan代数的基本代数结构。Hom-pre-Jordan代数也是Hom-pre-Lee代数的类似物。Hom-pre-Jordan代数的反交换子是Hom-Jordan代数，并且左乘法算子给出了Hom-Jordan代数学的表示。另一方面，Hom-J树状代数是Hom树状代数的Hom-Jordan代数类似物，使得两个运算之和的反交换子是Hom-pre-Jardon代数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Construction of Hom-pre-Jordan algebras and Hom-J-dendriform algebras

The aim of this work is to introduce and study the notions of Hom-pre-Jordan algebra and Hom-J-dendriform algebra which generalize Hom-Jordan algebras. Hom-pre-Jordan algebras are regarded as the underlying algebraic structures of the Hom-Jordan algebras behind the Rota-Baxter operators and O-operators introduced in this paper. Hom-pre-Jordan algebras are also analogues of Hom-pre-Lie algebras for Hom-Jordan algebras. The anti-commutator of a Hom-pre-Jordan algebra is a Hom-Jordan algebra and the left multiplication operator gives a representation of a Hom-Jordan algebra. On the other hand, a Hom-J-dendriform algebra is a Hom-Jordan algebraic analogue of a Hom-dendriform algebra such that the anti-commutator of the sum of the two operations is a Hom-pre-Jordan algebra.

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来源期刊

Extracta Mathematicae Mathematics-Mathematics (miscellaneous)

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

21 weeks