Let be a monomial ideal, , a positive integer, and be distinct variables in such that, for each , , where denotes the deletion of at . It is shown in Theorem 3.4 of the article in question that if and only if . As an application of Theorem 3.4, it is argued in Theorem 3.6 that under certain conditions, every unmixed König ideal is normally torsion-free. In addition, Theorem 3.7 states that under certain conditions a square-free monomial ideal is normally torsion-free. It turns out that these conditions are not enough to obtain the desired statements in Theorems 3.6 and 3.7. We update these conditions to validate the conclusions of Theorems 3.6 and 3.7. For this purpose, it is enough for us to replace the expression “” with the new expression “ is normally torsion-free”. It should be noted that the previous proofs are still correct.
"CORRECTION TO THE ARTICLE ON THE EMBEDDED ASSOCIATED PRIMES OF MONOMIAL IDEALS." Rocky Mountain J. Math. 53 (5) 1657 - 1659, October 2023. https://doi.org/10.1216/rmj.2023.53.1657