Normal Rees algebras

DOI10.1016/0021-8693(88)90130-5zbMath0641.13009OpenAlexW2023100684MaRDI QIDQ1100518

Vasconcelos, Wolmer V., Aaron Simis, Paulo R. Brumatti

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90130-5

zbMATH Keywords

hypersurface ringsGröbner basispolynomial ringcomputer algebraRees algebracomplete ideal\(S_ 2\)almost complete intersectionsnormal ideal of an affine domain

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to commutative algebra (13-04) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Relevant commutative algebra (14A05)

Related Items

The \(S_ 2\)-closure of a Rees algebra ⋮ Polynomial extensions of atomic domains ⋮ Unnamed Item ⋮ Remarks on a Remark of Kaplansky ⋮ Asymptotic prime ideals of \(S_{2}\)-filtrations ⋮ Integrally closed almost complete intersection ideals ⋮ Rees algebras and Koszul homology ⋮ A quasi-local half-factorial domain with an atomic non-half-factorial integral closure ⋮ Symbolic powers and the associated graded ring ⋮ Rees cones and monomial rings of matroids ⋮ Examples of Gorenstein domains and symbolic powers of monomial space curves ⋮ Arithmetic of normal Rees algebras ⋮ Rees Algebras of Ideals Having Small Analytic Deviation ⋮ First coefficient ideals and the \(S_2\)-ification of a Rees algebra ⋮ The structure of certain ideal transforms ⋮ Koszul Homology and the Structure of Low Codimension Cohen-Macaulay Ideals ⋮ On the Depth of Blowup Algebras of Ideals with Analytic Deviation One ⋮ Normality of subrings generated by square free monomials ⋮ On the Irreducible Components of the Form Ring and an Application to Intersection Cycles ⋮ Normality of semigroups with some links to graph theory. ⋮ On the depth of the associated graded ring of an ideal.

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