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Reduction numbers of ideals

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Publication:1305054
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DOI10.1006/jabr.1998.7803zbMath0964.13003OpenAlexW2002096960MaRDI QIDQ1305054

Vasconcelos, Wolmer V.

Publication date: 16 July 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7803


zbMATH Keywords

Cohen-Macaulay ringGröbner basisHilbert functionprimary idealbig reduction number


Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15)


Related Items (7)

Symmetric Reductions ⋮ Maximal generating degrees of powers of homogeneous ideals ⋮ Asymptotic behavior of reduction numbers ⋮ The core of zero-dimensional monomial ideals ⋮ Borel-fixed ideals and reduction number. ⋮ Integral degree of a ring, reduction numbers and uniform Artin-Rees numbers ⋮ Reduction numbers of equimultiple ideals



Cites Work

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  • Variétés polaires locales et classes de Chern des variétés singulieres
  • Prestable ideals
  • On the integral closure of ideals
  • Cohomological degrees and Hilbert functions of graded modules
  • What can be computed in algebraic geometry?
  • Maximal Hilbert functions


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