# Erratum to "On Operations and Linear Extensions of Well Partially Ordered Sets"

## TL;DR

This paper provides a counter-example to a previously claimed lemma in the study of operations and linear extensions of well partially ordered sets, challenging prior assumptions in the field.

## Contribution

It introduces a specific counter-example that refutes Lemma 12 from the original work, clarifying the limitations of the earlier results.

## Key findings

- Counter-example disproves Lemma 12
- Highlights need for revised assumptions in the theory
- Refines understanding of operations on well partial orders

## Abstract

In this article, we give a counter-example to Lemma 12 of the article "On Operations and Linear Extensions of Well Partially Ordered Sets" by Maciej Malicki and Aleksander Rutkowski.