An Upper Bound for the Regularity of Ideals of Borel Type

DOI10.1080/00927870701724110zbMath1137.13016arXivmath/0610537OpenAlexW1990706981MaRDI QIDQ5456515

Imran Anwar, Sarfraz Ahmad

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/0610537

zbMATH Keywords

regularityBorel idealsstable ideals

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Structure, classification theorems for modules and ideals in commutative rings (13C05) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (3)

Algebraic characterization of graphical degree stability ⋮ 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

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• Finite filtrations of modules and shellable multicomplexes
• Minimal resolutions of some monomial ideals
• Initial ideals, Veronese subrings, and rates of algebras
• The complexity of the word problems for commutative semigroups and polynomial ideals
• Characteristic-free bounds for the Castelnuovo–Mumford regularity

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