Stanley decompositions and localization

2008/05/05 by Sumiya Nasir, Nasir, Sumiya · 6 citations
Mathematics · Computer Science · #Commutative Algebra and Its Applications #Polynomial and algebraic computation #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/arxiv.0805.0467

Abstract

We study the behavior of Stanley depth under the operation of localization with respect to a variable.

Cited by

• Stanley decompositions in localized polynomial rings
• Depth and Stanley depth of multigraded modules
• The behavior of Stanley depth under polarization
• On the Stanley Depth of Squarefree Veronese Ideals
• On a conjecture of Stanley depth of squarefree Veronese ideals
• Stanley depth of monomial ideals in three variables

Related

• Stanley decompositions in localized polynomial rings
• Depth and Stanley depth of multigraded modules
• Tight closure does not commute with localization
• Splitting Localization and Prediction Numbers
• When will the Stanley depth increase