4 papers
Nijenhuis operators and mock-Lie bialgebras
Tianshui Ma, Sami Mabrouk, Abdenacer Makhlouf +1
A Nijenhuis mock-Lie algebra is a mock-Lie algebra equipped with a Nijenhuis operator. The purpose of this paper is to extend the well-known results about Nijenhuis mock-Lie algebr…
Admissible Yang-Baxter equation for Nijenhuis perm algebras
Tianshui Ma, Feiyan Song
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 han…
Infinitesimal (BiHom-)bialgebras of any weight (II): Representations
Tianshui Ma, Abdenacer Makhlouf
The aim of this paper is to investigate representation theory of infinitesimal (BiHom-)bialgebras of any weight (abbr. -inf(BH)-bialgebras). Firstly, inspired by the well-kn…
Infinitesimal (BiHom-)bialgebras of any weight (I): Basic definitions and properties
Tianshui Ma, Abdenacer Makhlouf
The purpose of this paper is to introduce and study -infinitesimal BiHom-bialgebras (abbr. -infBH-bialgebra) and some related structures. They can be seen as an extension of…