Restricted classes of veronese type ideals and algebras

DOI10.1142/S0218196721500090zbMath1461.13010arXiv2005.09601OpenAlexW3102756821MaRDI QIDQ5854494

Rodica Dinu, Ayesha Asloob Qureshi, Jürgen Herzog

Publication date: 17 March 2021

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.09601

zbMATH Keywords

analytic spread\(c\)-bounded \(t\)-spread Veronese ideals\(t\)-spread Veronese ideals of bounded type

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Combinatorial aspects of matroids and geometric lattices (05B35) Syzygies, resolutions, complexes and commutative rings (13D02) Cohen-Macaulay modules (13C14) Combinatorial aspects of commutative algebra (05E40)

Related Items (7)

Some homological properties of Borel type ideals ⋮ Classes of normally and nearly normally torsion-free monomial ideals ⋮ Computational methods for t-spread monomial ideals ⋮ Unnamed Item ⋮ Vector-spread monomial ideals and Eliahou-Kervaire type resolutions ⋮ Projective dimension and Castelnuovo–Mumford regularity of t-spread ideals ⋮ Blow-up algebras of secant varieties of rational normal scrolls

Uses Software

• SINGULAR

Cites Work

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• Persistence and stability properties of powers of ideals
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• Ideals of fiber type and polymatroids
• The pinched Veronese is Koszul
• On the associated graded ring of an ideal
• Gorenstein algebras of Veronese type
• Resolutions by mapping cones
• The stable set of associated prime ideals of a polymatroidal ideal
• Sortable Freiman ideals
• Gorenstein \(T\)-spread Veronese algebras
• Sortable simplicial complexes and \(t\)-independence ideals of proper interval graphs
• Cohen-Macaulay polymatroidal ideals
• Powers of \(t\)-spread principal Borel ideals
• Equidimensional and Unmixed Ideals of Veronese Type
• The asymptotic nature of the analytic spread
• Binomial Ideals
• Monomial Ideals
• SINGULAR
• t-Spread strongly stable monomial ideals*
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes

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