English

Admissible Yang-Baxter equation for Nijenhuis perm algebras

Rings and Algebras 2025-10-21 v3

Abstract

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.

Keywords

Cite

@article{arxiv.2410.07496,
  title  = {Admissible Yang-Baxter equation for Nijenhuis perm algebras},
  author = {Tianshui Ma and Feiyan Song},
  journal= {arXiv preprint arXiv:2410.07496},
  year   = {2025}
}

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19 pages