Add to ORKGA famous conjecture by R. Stanley relates the depth of a module, an algebraic invariant, with the so-called Stanley depth, a geometric one. We describe two related geometric notions, the cover depth and the greedy depth, and we study their relations with the Stanley depth for Stanley-Reisner rings of simplicial complexes. This leads to a quest for the existence of extremely non-partitionable simplicial complexes. We include several open problems and questions.This paper is a report about a research project suggested by J. Herzog at the summer school P.R.A.G.MAT.I.C. 2008 at the University of Catania. In particular, the paper describes a direction where we expect that possible counterexamples can be found at least for a weaker version of Sta...
In this article we describe an algorithm to compute the Stanley depth of I=J where I and J are monom...
In this article we describe an algorithm to compute the Stanley depth of I=J where I and J are monom...
AbstractLet J⊂I be monomial ideals. We show that the Stanley depth of I/J can be computed in a finit...
A famous conjecture by R. Stanley relates the depth of a module, an algebraic invariant, with the so...
A famous conjecture by R. Stanley relates the depth of a module, an algebraic invariant, with the so...
A famous conjecture by R. Stanley relates the depth of a module, an algebraic invariant, with the so...
A famous conjecture by R. Stanley relates the depth of a module, an algebraic invariant, with the so...
Richard P. Stanley is well known for his fundamental and important contributions to combinatorics an...
A long-standing conjecture of Stanley states that every Cohen–Macaulay simplicial complex is partiti...
We show that Stanley’s conjecture holds for any multigraded module M over S, with sdepth(M) = 0, whe...
We show that Stanley’s conjecture holds for any multigraded module M over S, with sdepth(M) = 0, whe...
We show that Stanley’s conjecture holds for any multigraded module M over S, with sdepth(M) = 0, whe...
International audienceA long-standing conjecture of Stanley states that every Cohen–Macaulay simplic...
In this paper we introduce an algorithm for computing the Stanleydepth of a finitely generated multi...
In this article we describe an algorithm to compute the Stanley depth of I=J where I and J are monom...
In this article we describe an algorithm to compute the Stanley depth of I=J where I and J are monom...
In this article we describe an algorithm to compute the Stanley depth of I=J where I and J are monom...
AbstractLet J⊂I be monomial ideals. We show that the Stanley depth of I/J can be computed in a finit...
A famous conjecture by R. Stanley relates the depth of a module, an algebraic invariant, with the so...
A famous conjecture by R. Stanley relates the depth of a module, an algebraic invariant, with the so...
A famous conjecture by R. Stanley relates the depth of a module, an algebraic invariant, with the so...
A famous conjecture by R. Stanley relates the depth of a module, an algebraic invariant, with the so...
Richard P. Stanley is well known for his fundamental and important contributions to combinatorics an...
A long-standing conjecture of Stanley states that every Cohen–Macaulay simplicial complex is partiti...
We show that Stanley’s conjecture holds for any multigraded module M over S, with sdepth(M) = 0, whe...
We show that Stanley’s conjecture holds for any multigraded module M over S, with sdepth(M) = 0, whe...
We show that Stanley’s conjecture holds for any multigraded module M over S, with sdepth(M) = 0, whe...
International audienceA long-standing conjecture of Stanley states that every Cohen–Macaulay simplic...
In this paper we introduce an algorithm for computing the Stanleydepth of a finitely generated multi...
In this article we describe an algorithm to compute the Stanley depth of I=J where I and J are monom...
In this article we describe an algorithm to compute the Stanley depth of I=J where I and J are monom...
In this article we describe an algorithm to compute the Stanley depth of I=J where I and J are monom...
AbstractLet J⊂I be monomial ideals. We show that the Stanley depth of I/J can be computed in a finit...