Coefficient ideals in and blowups of a commutative Noetherian domain

DOI10.1006/jabr.1993.1261zbMath0799.13008OpenAlexW2045656292MaRDI QIDQ1320208

Kishor Shah, Bernhard Johnston, David C. Lantz, William J. Heinzer

Publication date: 16 November 1994

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

Full work available at URL: https://semanticscholar.org/paper/49cc0964cd04c307e6ab11822fa285d04f9b675a

zbMATH Keywords

blow-upHilbert polynomialNoetherian domaintwo-dimensional regular local ringcoefficient ideals\(S_ 2\)Ratliff-Rush ideal

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Integral domains (13G05) Regular local rings (13H05)

Related Items (37)

Bounds on the \(a\)-invariant and reduction numbers of ideals ⋮ Blowing up finitely supported complete ideals in a regular local ring ⋮ Different approaches of coefficient ideals ⋮ Castelnuovo-Mumford regularity and Ratliff-Rush closure ⋮ A generalization of coefficient ideals ⋮ Hilbert coefficients of Hilbert filtrations ⋮ Ideal theory in two-dimensional regular local domains and birational extensions ⋮ Noetherian intersections of regular local rings of dimension two ⋮ The blow-up of a simple ideal ⋮ Coefficient modules and Ratliff-Rush closures^* ⋮ The tree of quadratic transforms of a regular local ring of dimension two ⋮ The Quadratic Tree of a Two-Dimensional Regular Local Ring ⋮ Asymptotic Primes of Ratliff–Rush Closure of Ideals with Respect to Modules ⋮ Postulation number of good filtrations ⋮ On the reduction numbers of monomial ideals ⋮ Ratliff–Rush closures and linear growth of primary decompositions of ideals ⋮ On Ratliff-Rush closure of modules ⋮ A note on the ascending chain condition of ideals ⋮ Results on the behavior of the Ratliff–Rush operation and the depth of the associated graded ring ⋮ INVARIANTS OF IDEALS HAVING PRINCIPAL REDUCTIONS ⋮ Ratliff-Rush closures of ideals with respect to a noetherian module ⋮ First coefficient ideals and the \(S_2\)-ification of a Rees algebra ⋮ Liftable derivations for generically separably algebraic morphisms of schemes ⋮ Local Cohomology of Rees Algebras and Hilbert Functions ⋮ Results on the Ratliff–Rush Closure and the Integral Closedness of Powers of Certain Monomial Curves ⋮ Powers of monomial ideals and the Ratliff-Rush operation ⋮ A class of projectively full ideals in two-dimensional Muhly local domains ⋮ Equimultiple coefficient modules ⋮ Ratliff-Rush closures and coefficient modules ⋮ AN ALGORITHM FOR COMPUTING THE RATLIFF–RUSH CLOSURE ⋮ Quasi-one-fibered ideals in two-dimensional Muhly local domains ⋮ On Adjacent Ideals in Two-Dimensional Rational Singularities ⋮ Coefficient ideals of the fiber cone ⋮ The Hilbert function of the Ratliff-Rush filtration. ⋮ A numerical characterization of the \(S_{2}\)-ification of a Rees algebra ⋮ The rees valuations of a module over a two-dimensional regular local ring ⋮ Asymptotic behavior of lengths of coefficient ideals

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