Stanley Depth of Quotient of Monomial Complete Intersection 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.

Key Words:

• Monomial ideal
• Stanley conjecture
• Stanley depth

2010 Mathematics Subject Classification:

• Primary: 13P10
• Secondary 13F20

Notes

Communicated by I. Swanson.