Stanley decompositions and localization
Sumiya Nasir
TL;DR
This paper investigates how the Stanley depth of modules changes when localized with respect to a variable, providing insights into the algebraic structure and properties of Stanley decompositions.
Contribution
It introduces new results on the behavior of Stanley depth under localization, expanding understanding of Stanley decompositions in commutative algebra.
Findings
Stanley depth can increase or decrease under localization
Localization affects the structure of Stanley decompositions
Results provide tools for analyzing Stanley depth in localized modules
Abstract
We study the behavior of Stanley depth under the operation of localization with respect to a variable.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Advanced Combinatorial Mathematics