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On the biggest maximally generated ideal as the conductor in the blowing up ring

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Publication:1911187
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DOI10.1007/BF02567834zbMath0849.13001MaRDI QIDQ1911187

Kerstin Pettersson, Valentina Barucci

Publication date: 5 June 1996

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156139

zbMATH Keywords

conductorlengthminimal number of generatorsquotient ringmaximally generated idealone-dimensional local Cohen-Macaulay ring


Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings and modules of finite generation or presentation; number of generators (13E15)


Related Items

On reflexive and 𝐼-Ulrich modules over curve singularities, The class semigroup of local one-dimensional domains



Cites Work

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  • The conductor of one-dimensional Gorenstein rings in their blowing-up
  • On the conductor of the blowing-up of a one-dimensional Gorenstein local ring
  • 1-dimensional Cohen-Macaulay rings
  • On generators of ideals in one-dimensional local rings
  • On the linear diophantine problem of Frobenius.
  • The Value-Semigroup of a One-Dimensional Gorenstein Ring
  • Stable Ideals and Arf Rings
  • On numerical semigroups
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