On an article published in the racsam

TL;DR

This note critiques a recent publication in RACSAM, highlighting that some results are not original and others are incorrect, thereby clarifying the state of research on the hit problem for polynomial algebras at odd primes.

Contribution

The paper provides critical comments on a previous work, clarifying inaccuracies and originality issues in the study of the hit problem for polynomial algebras at odd primes.

Findings

Some results in the criticized paper are not new.

Certain claims in the paper are false.

The note clarifies the correct understanding of the hit problem.

Abstract

In this Note, we provide the comments on the paper [A note on the hit problem for the polynomial algebra in the case of odd primes and its application] which was published in the RACSAM [Rev. Real. Acad. Cienc. Exactas. Fis. Nat. Ser. A-Mat. 118, 22 (2024)]. We will show that some of the results in this paper are not new and others are false.