English

Compatible anti-pre-Lie algebras

Rings and Algebras 2024-12-24 v1

Abstract

In this paper, we introduce the notion of compatible anti-pre-Lie algebras and study relationship between them and the related structures such as anti-O\mathcal{O}-operators, commutative 22-cocycles on compatible Lie algebras. Moreover, we give the classification of 22-dimensional compatible anti-pre-Lie algebras from the classification of anti-pre-Lie algebras of the same dimension.

Keywords

Cite

@article{arxiv.2412.16273,
  title  = {Compatible anti-pre-Lie algebras},
  author = {Zafar Normatov},
  journal= {arXiv preprint arXiv:2412.16273},
  year   = {2024}
}

Comments

20 pages. arXiv admin note: text overlap with arXiv:2207.06200 by other authors

R2 v1 2026-06-28T20:44:23.669Z