Stanley Conjecture on intersection of three monomial primary ideals

TL;DR

This paper proves that Stanley's Conjecture is valid for the intersection of three monomial primary ideals in a polynomial algebra over a field, advancing understanding in algebraic combinatorics.

Contribution

The paper establishes the validity of Stanley's Conjecture specifically for intersections of three monomial primary ideals, a case not previously confirmed.

Findings

Stanley's Conjecture holds for three monomial primary ideals

Provides a proof for a specific class of ideals in polynomial algebras

Enhances understanding of the structure of monomial ideals

Abstract

We show that the Stanley's Conjecture holds for an intersection of three monomial primary ideals of a polynomial algebra S over a field.