Global dimensions of endomorphism algebras for generator-cogenerators over $m$-replicated algebras

TL;DR

This paper explores the global dimensions of endomorphism algebras associated with generator-cogenerators over m-replicated hereditary artin algebras, providing insights into their structural properties.

Contribution

It investigates the range of possible global dimensions for endomorphism algebras over m-replicated hereditary artin algebras, a novel analysis in this context.

Findings

Characterization of global dimensions for endomorphism algebras

Conditions under which certain global dimensions occur

Extension of known results to m-replicated algebras

Abstract

Let $A$ be a hereditary artin algebra and $A^{(m)}$ be the $m$-replicated algebra of $A$. We investigate the possibilities for the global dimensions of the endomorphism algebras of generator-cogenerators over $A^{(m)}$.