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