Stanley depth of quotient of monomial complete intersection ideals

TL;DR

This paper calculates the Stanley depth for quotients of complete intersection monomial ideals, providing exact values and bounds, and confirms the Stanley conjecture in this context.

Contribution

It offers explicit computations and sharp bounds for Stanley depth of these quotients, proving the Stanley conjecture for this class of ideals.

Findings

Computed Stanley depth for specific quotient cases

Established sharp bounds for Stanley depth in general cases

Proved Stanley conjecture for quotients of complete intersection monomial ideals

Abstract

We compute the Stanley depth for a particular, but important case, of the quotient of complete intersection monomial ideals. Also, in the general case, we give sharp bounds for the Stanley depth of a quotient of complete intersection monomial ideals. In particular, we prove the Stanley conjecture for quotients of complete intersection monomial ideals.