51 citations · 254 across the 64 of their papers we have counts for
Showing 2024 · math.RAShow all
2 papers · 2 filters
math.RA2024
Algebra, group, and Hopf Rota-Baxter operators
Valeriy G. Bardakov, Igor M. Nikonov, Viktor N. Zhelaybin
We know definition of Rota--Baxter operators on different algebraic systems. For examples, on groups, on algebras, on Hopf algebras. On some algebraic systems it is possible to def…
math.RA2024★ 1 cited
Rota--Baxter and averaging operators on racks and rack algebras
V. G. Bardakov, V. A. Bovdi
In the present article we define and investigate relative Rota--Baxter operators and relative averaging operators on racks and rack algebras. Also, if B is a Rota--Baxter or averag…