Köthe's Problem, Kurosch-Levitzki Problem and Graded Rings

Antonio de França, Irina Sviridova

Let $\mathfrak{R}$ be an associative ring graded by left cancellative monoid $\mathsf{S}$, and $e$ the neutral element of $\mathsf{S}$. We study the following problem: if $\mathfra…