Kruskal-Katona Theorem for t-spread strongly stable ideals

zbMath1463.13002arXiv1811.00798MaRDI QIDQ5211995

Claudia Andrei-Ciobanu

Publication date: 23 January 2020

Full work available at URL: https://arxiv.org/abs/1811.00798

zbMATH Keywords

Hilbert seriesKruskal-Katona theoremStanley-Reisner ideals\(t\)-spread strongly stable ideals

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded rings (13A02) Combinatorial aspects of commutative algebra (05E40)

Related Items (8)

A numerical characterization of the extremal Betti numbers of \(t\)-spread strongly stable ideals ⋮ Shifting operations and completely t–spread lexsegment ideals ⋮ Computational methods for t-spread monomial ideals ⋮ Linear resolutions of t-spread lexsegment ideals via Betti splittings ⋮ t-Spread strongly stable monomial ideals* ⋮ Vector-spread monomial ideals and Eliahou-Kervaire type resolutions ⋮ Classification of Cohen-Macaulay \(t\)-spread lexsegment ideals via simplicial complexes ⋮ Projective dimension and Castelnuovo–Mumford regularity of t-spread ideals

This page was built for publication: Kruskal-Katona Theorem for t-spread strongly stable ideals