English

Curved O-operator systems

Rings and Algebras 2025-07-21 v2

Abstract

In this paper, we introduce the notion of curved O\mathcal{O}-operator systems as a generalization of T. Brzezi\'{n}ski's (curved) Rota-Baxter systems, and then investigate their relations with O\mathcal{O}-operator systems, (tri)dendriform systems, pre-Lie algebras, associative Yang-Baxter pairs and quasitriangular covariant bialgebras.

Keywords

Cite

@article{arxiv.1710.05232,
  title  = {Curved O-operator systems},
  author = {Tianshui Ma and Abdenacer Makhlouf and Sergei Silvestrov},
  journal= {arXiv preprint arXiv:1710.05232},
  year   = {2025}
}
R2 v1 2026-06-22T22:13:43.269Z