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Some algebraic structures about Nijenhuis operators

被引：0
|
作者：
Ma, Tianshu [1 ]
Li, Mengqi [1 ]
Zheng, Huihui [1 ]
Zhao, Xiaofan [1 ]
机构：
[1] Henan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Peoples R China
来源：
FILOMAT | 2024年 / 38卷 / 05期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Nijenhuis coalgebras; 2-cycles; O-operators;
D O I：
10.2298/FIL2405711M
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we aim to study the basic properties of Nijenhuis operators on coalgebras and present three algebraic structures: Nijenhuis admissible coassociative Yang-Baxter equations (cYBes for short), Nijenhuis 2-cycles and admissible Nijenhuis systems. We also prove that new solutions of cYBes can be obtained by Nijenhuis admissible cYBes. The equivalence between Nijenhuis admissible cYBes and Nijenhuis 2-cycles is given. A new way to construct Nijenhuis operators on coalgebra is provided.
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页码：1711 / 1727
页数：17
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