Computing the Stanley depth

2009/07/06 by Popescu, Dorin, Qureshi, Muhammad Imran
#13C14 #13F20 #13H10 #13P10 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.0907.0912

Abstract

Let Q and Q' be two monomial primary ideals of a polynomial algebra S over a field. We give an upper bound for the Stanley depth of S/(Q∩ Q') which is reached if Q,Q' are irreducible. Also we show that Stanley's Conjecture holds for Q₁∩ Q₂, S/(Q₁∩ Q₂∩ Q₃), (Q_i)_i being some irreducible monomial ideals of S.

Related

• Upper bounds for the Stanley depth
• Values and bounds of the Stanley depth
• Depth of some square free monomial ideals
• Depth of some special monomial ideals
• Special Stanley Decompositions