Stanley Decompositions, Pretty Clean Filtrations and Reductions Modulo Regular Elements

2007/08/10 by Asia Rauf, Rauf, Asia · 2 citations
Mathematics · #13C14 #13F20 (Secondary) #13H10 (Primary) 13P10 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.0708.1481

openalex publication_date 2007/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the behavior of Stanley decompositions and of pretty clean filtrations under reduction modulo a regular element.

Cited by

• On the Behaviour of Stanley Depth under Variable Adjunction
• Stanley depth of monomial ideals in three variables

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