Linear Bounds on Growth of Associated Primes

DOI10.1080/00927879708826041zbMath0889.13002arXivmath/0209309OpenAlexW2073647717MaRDI QIDQ4361045

Irena Swanson, Karen E. Smith

Publication date: 11 June 1998

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

Full work available at URL: https://arxiv.org/abs/math/0209309

zbMATH Keywords

associated primestight closureCastelnuovo-Mumford regularityFrobenius powerideals generated by monomialsprimary components of powers

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (10)

Tight closure commutes with localization in binomial rings ⋮ Ideals in a perfect closure, linear growth of primary decompositions, and tight closure ⋮ An effective avoidance principle for a class of ideals ⋮ Associated Primes of the Example of Brenner and Monsky ⋮ Localization of tight closure in two-dimensional rings ⋮ Asymptotic linear bounds for the Castelnuovo-Mumford regularity ⋮ Local Okounkov bodies and limits in prime characteristic ⋮ Growth of primary decompositions of Frobenius powers of ideals ⋮ Differential operators on monomial rings ⋮ Four counterexamples in combinatorial algebraic geometry

Cites Work

• Unnamed Item
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• A criterion for detecting m-regularity
• Minimal resolutions of some monomial ideals
• Differential operators on monomial rings
• Bounds on degrees of projective schemes
• Ideals contracted from 1-dimensional overrings with an application to the primary decomposition of ideals
• R-SEQUENCES AND INDETERMINATES

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