2 problems

Let $A$ be a regular graded algebra, meaning that it has finite global dimension and satisfies the Gorenstein condition … The algebra $A$ is graded coherent if every finitely gener…

Let $A$ be a connected finitely generated ${\mathbb N}$-graded algebra over a field $k$, with $A_0=k$. The algebra $A$ is graded coherent if every finitely generated graded ideal i…