homm - malcev代数的树状化

IF 1 2区数学 Q2 MATHEMATICS, APPLIED

Advances in Applied Clifford Algebras Pub Date : 2026-08-17 DOI:10.1007/s00006-026-01450-w

F. Harrathi, S. Mabrouk, O. Ncib, S. Silvestrov

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引用次数: 0

摘要

这项工作的主要目标是引入一个概念的hm - m-树形代数，这可以看作是树形版本的hm - malcev代数。事实上，它们是homm -pre- malcev代数\(\mathcal {O}\) -算子背后的代数结构。它们也适合一个更大的框架，作为homl -树形代数的homl - malcev代数类似物。此外，我们还证明了hm - m-树形代数与hm -可选四代数之间的联系。

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Dendrification of Hom-Malcev Algebras

The main goal of this work is to introduce a notion of Hom-M-dendriform algebras which can be seen as the dendriform version of Hom-Malcev algebras. In fact they are the algebraic structures behind the \(\mathcal {O}\)-operator of Hom-pre-Malcev algebras. They also fit into a larger framework as Hom-Malcev algebraic analogues of Hom-L-dendriform algebras. Furthermore, we show a connections between Hom-M-dendriform algebras and Hom-alternative quadri-algebras.

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来源期刊

Advances in Applied Clifford Algebras 数学-物理：数学物理

CiteScore

2.20

自引率

13.30%

发文量

审稿时长

3 months

期刊介绍： Advances in Applied Clifford Algebras (AACA) publishes high-quality peer-reviewed research papers as well as expository and survey articles in the area of Clifford algebras and their applications to other branches of mathematics, physics, engineering, and related fields. The journal ensures rapid publication and is organized in six sections: Analysis, Differential Geometry and Dirac Operators, Mathematical Structures, Theoretical and Mathematical Physics, Applications, and Book Reviews.