Dimension filtration, sequential Cohen-Macaulayness and a new polynomial invariant of graded algebras

DOI10.1016/j.jalgebra.2016.01.045zbMath1341.13001arXiv1504.04328OpenAlexW2963640383MaRDI QIDQ286552

Afshin Goodarzi

Publication date: 20 May 2016

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

Full work available at URL: https://arxiv.org/abs/1504.04328

zbMATH Keywords

Hilbert seriesextremal Betti numbersBjörner-Wachs polynomialgeneric initial idealsequential Cohen-Macaulayness

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded rings (13A02) Cohen-Macaulay modules (13C14)

Related Items (3)

Sequentially Cohen-Macaulay binomial edge ideals of closed graphs ⋮ On the notion of sequentially Cohen-Macaulay modules ⋮ A rigidity property of local cohomology modules

Uses Software

• Macaulay2

Cites Work

• How the upper bound conjecture was proved
• Symmetric iterated Betti numbers
• Resolutions of Stanley-Reisner rings and Alexander duality
• Stable properties of algebraic shifting
• Algebraic shifting and sequentially Cohen-Macaulay simplicial complexes
• Componentwise linear ideals and Golod rings
• Face numbers of sequentially Cohen-Macaulay complexes and Betti numbers of componentwise linear ideals
• Combinatorics and commutative algebra.
• Extremal Betti numbers and applications to monomial ideals
• The Upper Bound Conjecture and Cohen-Macaulay Rings
• Shellable Nonpure Complexes and Posets. I
• Monomial Ideals
• A rigidity property of local cohomology modules
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