Stanley Decompositions, Pretty Clean Filtrations and Reductions Modulo Regular Elements
arXiv:0708.1481
Abstract
We study the behavior of Stanley decompositions and of pretty clean filtrations under reduction modulo a regular element.
7 pages
Cited by in corpus (10)
- 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 decompositions and localization
- Stanley depth and the lcm-lattice
- Stanley depth of monomial ideals in three variables
- On the Behaviour of Stanley Depth under Variable Adjunction
- A note on Stanley conjecture for monomial ideals
- Stanley depth of quotient of monomial complete intersection ideals
- Filter-regular sequences, almost complete intersections and Stanley's conjecture