# The strong Lefschetz property of monomial complete intersections in two variables

## TL;DR

This paper classifies monomial complete intersection algebras in two variables over fields of positive characteristic that possess the strong Lefschetz property, completing the classification in this setting.

## Contribution

It provides a complete classification of monomial complete intersections with the strong Lefschetz property in two variables over positive characteristic fields.

## Key findings

- Identifies which monomial complete intersections have the property
- Completes the classification for two-variable cases
- Integrates with known results for a full picture

## Abstract

In this paper we classify the monomial complete intersection algebras, in two variables, and of positive characteristic, which has the strong Lef- schetz property. Together with known results, this gives a complete classi- fication of the monomial complete intersections with the strong Lefschetz property.