Gröbner-Shirshov bases of Rota-Baxter algebra of weight $\lambda$ with spectrum lying in $\{0,-\lambda \}$

H. Alhussein

It is known that if $A$ is a finite-dimensional unital algebra equipped with a Rota-Baxter operator $R$ of weight $\lambda$, then spectrum of $R$ is a subset of $\{0,-\lambda \}$. We are intere…