Stanley depth of square free Veronese ideals

TL;DR

This paper calculates the Stanley depth of quotient rings of square free Veronese ideals, providing bounds and confirming Stanley's conjecture for these ideals, advancing understanding in combinatorial commutative algebra.

Contribution

It introduces explicit computations and bounds for the Stanley depth of square free Veronese ideals, confirming Stanley's conjecture in this context.

Findings

Stanley depth of quotient rings of square free Veronese ideals is computed.

Bounds for the Stanley depth of these ideals are established.

Stanley's conjecture is verified for both the ideals and their quotients.

Abstract

We compute the Stanley depth for the quotient ring of a square free Veronese ideal and we give some bounds for the Stanley depth of a square free Veronese ideal. In particular, it follows that both satisfy the Stanley's conjecture.