Corrigendum to "An equivalence of categories for graded modules over monomial algebras and path algebras of quivers" [J. Algebra, 353(1) (2012) 249-260]

TL;DR

This corrigendum corrects a previously published algebraic result regarding graded modules over monomial and path algebras, clarifying the main theorem's proof and including a new supporting result.

Contribution

It provides the correct statement of Artin and Zhang's result and introduces a new result to support the original main theorem's proof.

Findings

Corrected statement of Artin and Zhang's result

New result enabling proof of the main theorem

Main theorem remains valid with revised proof

Abstract

Our published paper contains an incorrect statement of a result due to Artin and Zhang. This corrigendum gives the correct statement of their result and includes a new result that allows us to use their result to prove our main theorem. Thus the main theorem of our published paper is correct as stated but its proof must be modified.