Silviu Bălănescu,
Mircea Cimpoeaş
and Christian Krattenthaler
On the quasi depth of monomial ideals
(20 pages)
Abstract.
Following some previous attempts, we introduce and study a new invariant, called quasi depth, associated to a
quotient of monomial ideals in a ring of polynomials S =
K[x1, ..., xn], which gives a combinatorial upper bound for the Stanley depth.
As an application, we tackle the case of the square-free Veronese ideal of degree m.
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