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

H. Alhussein

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