Admissible Yang-Baxter equation for Nijenhuis perm algebras

Fuente: arXiv
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Main Authors: Ma, Tianshui, Song, Feiyan
Format: Preprint
Published: 2024
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author Ma, Tianshui
Song, Feiyan
author_facet Ma, Tianshui
Song, Feiyan
contents In this paper, on one hand, based on the classical perm Yang-Baxter equation, we investigate under what conditions a perm algebra must be a Nijenhuis perm algebra. On the other hand, we derive the compatible conditions between classical perm Yang-Baxter equation and Nijenhuis operator by a class of Nijenhuis perm bialgebras.
format Preprint
id arxiv_https___arxiv_org_abs_2410_07496
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Admissible Yang-Baxter equation for Nijenhuis perm algebras
Ma, Tianshui
Song, Feiyan
Rings and Algebras
In this paper, on one hand, based on the classical perm Yang-Baxter equation, we investigate under what conditions a perm algebra must be a Nijenhuis perm algebra. On the other hand, we derive the compatible conditions between classical perm Yang-Baxter equation and Nijenhuis operator by a class of Nijenhuis perm bialgebras.
title Admissible Yang-Baxter equation for Nijenhuis perm algebras
topic Rings and Algebras
url https://arxiv.org/abs/2410.07496