Let $A$ be a finite dimensional algebra (we can assume that $A \cong KQ/I$, for a quiver $Q$ and an admissible ideal $I$ if that helps).

Denote by $A_G$ the associated graded algebra $A_G= \bigoplus\limits_{k=0}^{\infty}{rad^k(A)/rad^{k+1}(A)}$ where $rad(A)$ denotes the Jacobson radical of $A$. Note that this is a finite direct sum as $rad^n(A)=0$ for some $n \geq 1$ and set $rad^0(A)=A$.

Question 1: Is there a good reference where the basic properties of such algebras $A_G$ are studied in a representation-theoretic context?

Question 2: Given $A$ is there an easy way to obtain $A_G$ using GAP or its package QPA?

$\DeclareMathOperator\rad{rad}$Let $A$ be a finite dimensional algebra (we can assume that $A \cong KQ/I$, for a quiver $Q$ and an admissible ideal $I$ if that helps).

Denote by $A_G$ the associated graded algebra $A_G= \bigoplus\limits_{k=0}^{\infty}{\rad^k(A)/\rad^{k+1}(A)}$ where $\rad(A)$ denotes the Jacobson radical of $A$. Note that this is a finite direct sum as $\rad^n(A)=0$ for some $n \geq 1$ and set $\rad^0(A)=A$.

Question 1: Is there a good reference where the basic properties of such algebras $A_G$ are studied in a representation-theoretic context?

Question 2: Given $A$ is there an easy way to obtain $A_G$ using GAP or its package QPA?