On the regularity of 𝑝-Borel ideals

DOI10.1090/S0002-9939-01-05840-3zbMath0979.13027OpenAlexW1570451336MaRDI QIDQ2716098

Dorin Popescu, Jürgen Herzog

Publication date: 6 June 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-05840-3

zbMATH Keywords

regularity of principal \(p\)-Borel ideals

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Syzygies, resolutions, complexes and commutative rings (13D02) Ideals and multiplicative ideal theory in commutative rings (13A15) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items

Zero-generic initial ideals ⋮ Hilbert schemes with two Borel-fixed points in arbitrary characteristic ⋮ Shift modules, strongly stable ideals, and their dualities ⋮ Betti tables of \(p\)-Borel-fixed ideals ⋮ A monomial cycle basis on Koszul homology modules ⋮ The minimal free resolution of a Borel ideal ⋮ A Stable Property of Borel Type Ideals

Cites Work

• A criterion for detecting m-regularity
• Minimal resolutions of some monomial ideals
• Initial ideals, Veronese subrings, and rates of algebras
• \(p\)-Borel principal ideals
• Betti numbers for_p-stable ideals