11 citations · 20 across the 9 of their papers we have counts for
Showing 2025Show all
3 papers · 1 filter
math.RA2025
L-algebras and their ideals: from simplicity to semidirect products
Silvia Properzi, Yufei Qin
In this paper, we investigate the ideals of semidirect products of L-algebras and the structure of simple L-algebras. We provide a precise characterization of the ideals of semidir…
math.RT2025
From homotopy Rota-Baxter algebras to Pre-Calabi-Yau and homotopy double Poisson algebras
Yufei Qin, Kai Wang
In this paper, we investigate pre-Calabi-Yau algebras and homotopy double Poisson algebras arising from homotopy Rota-Baxter structures. We introduce the notion of cyclic homotopy…
math.RA2025
Deformation theory and Koszul duality for Rota-Baxter systems
Yufei Qin, Kai Wang, Guodong Zhou
This paper investigates Rota-Baxter systems in the sense of Brzeziński from the perspective of operad theory. The minimal model of the Rota-Baxter system operad is constructed, equ…