Stanley depth of complete intersection monomial ideals

TL;DR

This paper calculates the Stanley depth of irreducible monomial ideals and shows that for monomial complete intersections, the Stanley depth equals that of their radicals, providing bounds for these depths.

Contribution

It introduces explicit computations and bounds for the Stanley depth of monomial complete intersection ideals, linking them to their radicals.

Findings

Stanley depth of irreducible monomial ideals is computed.

Stanley depth of monomial complete intersections equals that of their radicals.

Bounds for the Stanley depth of monomial complete intersections are provided.

Abstract

We compute the Stanley depth of irreducible monomial ideals and we show that the Stanley depth of a monomial complete intersection ideal is the same as the Stanley depth of it's radical. Also, we give some bounds for the Stanley depth of a monomial complete intersection ideal.