Stratifying Endomorphism Algebras

Suppose that $R$ is a finite dimensional algebra and $T$ is a right $R$-module. Let $A = \textnormal{End}_R(T)$ be the endomorphism algebra of $T$. This memoir offers a study of the relationships between representation theories of $R$ and $A$, especially those involving actual or potential structures on $A$ which stratify its homological algebra.