Pretty cleanness and filter-regular sequences

DOI10.1007/s10587-014-0144-3zbMath1349.13042arXiv1312.0858OpenAlexW2027615651MaRDI QIDQ5249631

Somayeh Bandari, Ali Soleyman Jahan, Kamran Divaani-Aazar

Publication date: 6 May 2015

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.0858

zbMATH Keywords

\(d\)-sequencefilter-regular sequenceclean modulealmost clean modulepretty clean module

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Combinatorial aspects of commutative algebra (05E40)

Cites Work

• Unnamed Item
• Finite filtrations of modules and shellable multicomplexes
• Simplicial join via tensor product
• Prime filtrations and Stanley decompositions of squarefree modules and Alexander duality
• Linear Diophantine equations and local cohomology
• A new algebraic criterion for shellability
• On certain monomial sequences
• On a conjecture of R. P. Stanley. I: Monomial ideals
• On a conjecture of R. P. Stanley. II: Quotients modulo monomial ideals
• Prime filtrations of monomial ideals and polarizations
• Stanley depth of multigraded modules
• Stanley decompositions and partitionable simplicial complexes
• How to compute the Stanley depth of a monomial ideal
• Prime Filtrations and Primary Decompositions of Modules
• Monomial Ideals of Forest Type
• Stanley Decompositions, Pretty Clean Filtrations and Reductions Modulo Regular Elements
• Monomial Ideals
• A Note on the Associated Primes of Local Cohomology Modules
• \(s\)-sequences and symmetric algebras

This page was built for publication: Pretty cleanness and filter-regular sequences