Sliding Functor and Polarization Functor for Multigraded Modules

DOI10.1080/00927872.2010.547540zbMath1241.13018arXiv1010.4112OpenAlexW2963441854MaRDI QIDQ5389039

Kohji Yanagawa

Publication date: 24 April 2012

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.4112

zbMATH Keywords

monomial idealpolarizationsimplicial complexStanley depthBier-Murai spheresliding functor

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55)

Related Items (8)

A brief survey on pure Cohen-Macaulayness in a fixed codimension ⋮ Stanley depth and the lcm-lattice ⋮ A note on monomial ideals which are Cohen–Macaulay in a fixed codimension ⋮ The behavior of Stanley depth under polarization ⋮ Alternative polarizations of Borel fixed ideals ⋮ Stanley depth of weakly 0-decomposable ideals ⋮ Bounds for Arithmetic Degrees ⋮ Properties of Lyubeznik numbers under localization and polarization

Cites Work

• Unnamed Item
• The Auslander-Reiten translate on monomial rings
• Spheres arising from multicomplexes
• Alexander duality and Stanley depth of multigraded modules
• The Alexander duality functors and local duality with monomial support
• On a conjecture of R. P. Stanley. I: Monomial ideals
• On a conjecture of R. P. Stanley. II: Quotients modulo monomial ideals
• Combinatorics and commutative algebra.
• Alexander duality for Stanley-Reisner rings and squarefree \(\mathbb{N}^n\)-graded modules
• How to compute the Stanley depth of a monomial ideal
• UPPER BOUNDS FOR LOCAL COHOMOLOGY FOR RINGS WITH GIVEN HILBERT FUNCTION
• On multigraded resolutions

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