Stable properties of algebraic shifting

DOI10.1007/BF03322817zbMath0945.13013OpenAlexW2026845765MaRDI QIDQ1297003

Jürgen Herzog, Naoki Terai

Publication date: 29 September 1999

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322817

zbMATH Keywords

complexityStanley-Reisner ringsimplicial complexdepth

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Simplicial sets and complexes in algebraic topology (55U10) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (max. 100)

Exterior Depth and Exterior Generic Annihilator Numbers ⋮ Dimension filtration, sequential Cohen-Macaulayness and a new polynomial invariant of graded algebras ⋮ Homological properties of Orlik-Solomon algebras ⋮ Alexander duality for the alternative polarizations of strongly stable ideals ⋮ Shifting operations and graded Betti numbers ⋮ Resolutions of \textbf{a}-stable ideals.

Cites Work

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• A criterion for detecting m-regularity
• Linear free resolutions and minimal multiplicity
• Minimal resolutions of some monomial ideals
• Modules of finite virtual projective dimension
• Resolutions of Stanley-Reisner rings and Alexander duality
• Gotzmann theorems for exterior algebras and combinatorics
• Combinatorics and commutative algebra.
• Resolutions of monomial ideals and cohomology over exterior algebras

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