Stanley decompositions and localization
arXiv:0805.0467
Abstract
We study the behavior of Stanley depth under the operation of localization with respect to a variable.
References in corpus (7)
- Stanley Conjecture in small embedding dimension
- Stanley depth of complete intersection monomial ideals
- Stanley Decompositions, Pretty Clean Filtrations and Reductions Modulo Regular Elements
- An inequality between depth and Stanley depth
- Sequentially Cohen-Macaulay monomial ideals of embedding dimension four
- Stanley depth of monomial ideals in three variables
- Stanley decompositions of squarefree modules and Alexander duality
Cited by in corpus (12)
- Stanley depth of complete intersection monomial ideals
- An inequality between depth and Stanley depth
- Stanley depth of monomial ideals with small number of generators
- Stanley depth of square free Veronese ideals
- Stanley depth of monomial ideals in three variables
- On the Stanley Depth of Squarefree Veronese Ideals
- Some remarks on the Stanley's depth for multigraded modules
- On a conjecture of Stanley depth of squarefree Veronese ideals
- A note on Stanley conjecture for monomial ideals
- The behavior of Stanley depth under polarization
- Stanley decompositions in localized polynomial rings
- Depth and Stanley depth of multigraded modules