A Gröbner--Shirshov Basis for Nilpotent Rota--Baxter Algebras of Weight Zero

H. Alhussein

We construct an explicit Gröbner--Shirshov basis for free associative Rota--Baxter algebras of weight zero with nilpotent operator $R^n=0$, where $n\ge 2$. First, we define a mono…