Representation dimension of $m$-replicated algebras

Abstract

Let $A$ be a finite dimensional hereditary algebra over an algebraically closed field and $A^{(m)}$ the $m$-replicated algebra of $A$. We prove that the representation dimension of $A^{(m)}$ is at most three, and that the dominant dimension of $A^{(m)}$ is at least $m$.

13 pages

References in corpus (1)

• Partial tilting modules over $m$-replicated algebras

Cited by in corpus (1)

• Partial tilting modules over $m$-replicated algebras