Nijenhuis Leibniz bialgebras

Communications in Algebra 2026

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Authors: Tedesco Ma, Yali Sun, Huihui Zheng
DOI: 10.1080/00927872.2025.2602882
Cited by: 1
References: 11

Abstract

In this paper, we investigate the bialgebraic structures for a Nijenhuis Leibniz algebra (i.e., a Leibniz algebra together with a Nijenhuis operator). Firstly, we provide the equivalent characterizations for Nijenhuis Leibniz bialgebras via matched pair and Manin triple, respectively. Secondly, we discuss the compatible conditions between classical Leibniz Yang-Baxter equations and Nijenhuis operators by means of triangular Nijenhuis Leibniz bialgebras. Lastly, according to Ayupov et al.’s results, we give the classification of triangular Nijenhuis Leibniz bialgebras of dimension 2.

Fields of Study & Subjects

Homotopy and Cohomology in Algebraic Topology Logic programming and type systems Advanced Algebra and Logic

Publication details

Journal / source
Communications in Algebra
Publisher
Informa UK Limited
Volume
54
Issue
11
Pages
3465–3495
Publication date
7 January 2026
Language
EN