Some Results on Normal Homogeneous Ideals

DOI10.1081/AGB-120022805zbMath1021.13008arXivmath/0209285OpenAlexW1975514525MaRDI QIDQ4420226

Marie A. Vitulli, Leslie G. Roberts, Les Reid

Publication date: 14 August 2003

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

Full work available at URL: https://arxiv.org/abs/math/0209285

zbMATH Keywords

homogeneous ideal in a graded ringintegrally closed powers of idealmonomial ideal in a polynomial ring

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Graded rings (13A02) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (25)

Asymptotic behavior of integer programming and the stability of the Castelnuovo-Mumford regularity ⋮ Maximal generating degrees of integral closures of powers of monomial ideals ⋮ Integral closure and operations of algebraic tori of complexity 1 in affine varieties ⋮ The core of zero-dimensional monomial ideals ⋮ Indices of normalization of ideals ⋮ On the normality of a class of monomial ideals via the Newton polyhedron ⋮ On the Behrend function and the blowup of some fat points ⋮ Stability of depth and Cohen-Macaulayness of integral closures of powers of monomial ideals ⋮ Adjoint ideals and Gorenstein blowups in two-dimensional regular local rings ⋮ Powers of Elements and Monomial Ideals^# ⋮ Partial Castelnuovo–Mumford regularities of sums and intersections of powers of monomial ideals ⋮ The Rees algebra of a positive normal affine semigroup ring. ⋮ Asymptotic vanishing of homogeneous components of multigraded modules and its applications ⋮ Normalization of modules ⋮ Castelnuovo–Mumford Regularity of Sums of Powers of Polynomial Ideals ⋮ Stability of associated primes of integral closures of monomial ideals ⋮ Serre's Condition R_ℓfor Affine Semigroup Rings ⋮ Regularity and Koszul property of symbolic powers of monomial ideals ⋮ Results on the Ratliff–Rush Closure and the Integral Closedness of Powers of Certain Monomial Curves ⋮ Normality of monomial ideals ⋮ Normality of cover ideals of graphs and normality under some operations ⋮ An effective characterization of complete monomial ideals in two variables ⋮ LOCAL COHOMOLOGY OF MULTI-REES ALGEBRAS, JOINT REDUCTION NUMBERS AND PRODUCT OF COMPLETE IDEALS ⋮ Canonical modules of Rees algebras ⋮ Normality of semigroups with some links to graph theory.

Cites Work

• Anneaux de Rees intégralement clos.
• Normal ideals of graded rings
• Monomial subrings in arbitrary dimension

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