homl - leibniz代数上的Reynolds算子

IF 0.8 4区数学 Q2 MATHEMATICS Filomat Pub Date : 2023-01-01 DOI:10.2298/fil2307117w

Dingguo Wanga, Yuanyuan Keb

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引用次数: 0

摘要

本文首先在hm - leibniz代数上引入了Reynolds算子的概念，并给出了一些构造。进一步，我们定义了Reynolds算子的上同调，并利用这个上同调研究了Reynolds算子的变形。作为应用，我们引入并研究了ns - homl - leibniz代数作为Reynolds算子的基础结构。

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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Reynolds operators on Hom-Leibniz algebras

In this paper, we first introduce the notion of Reynolds operators on Hom-Leibniz algebras and give some constructions. Furthermore, we define the cohomology of Reynolds operators, and use this cohomology to study deformations of Reynolds operators. As applications, we introduce and study NS-Hom-Leibniz algebras as the underlying structure of Reynolds operators.

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