A Stable Property of Borel Type Ideals

DOI10.1080/00927870701724136zbMath1142.13025arXivmath/0702041OpenAlexW2163256425MaRDI QIDQ5456516

Mircea Cimpoeaş

Publication date: 8 April 2008

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

Full work available at URL: https://arxiv.org/abs/math/0702041

zbMATH Keywords

Mumford-Castelnuovo regularityBorel type ideals

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (4)

Algebraic characterization of graphical degree stability ⋮ Some Remarks on Borel Type Ideals ⋮ A combinatorial approach to involution and \(\delta \)-regularity. II: Structure analysis of polynomial modules with Pommaret bases ⋮ Partial regularities and a*-invariants of Borel type ideals

Cites Work

• A criterion for detecting m-regularity
• Initial ideals, Veronese subrings, and rates of algebras
• On the regularity of 𝑝-Borel ideals
• Characteristic-free bounds for the Castelnuovo–Mumford regularity

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