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On the relation type of large powers of an ideal

  • Bernard Johnston (a1) and Daniel Katz (a2)
Abstract
Abstract

We prove that the relation type of all high powers of an ideal in a Noetherian ring is either one or two. It is one exactly when some power of the ideal is locally principal.

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References
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HM. Sam Huckaba and Thomas Marley . Depth properties of Rees algebras and associated graded rings. J. Algebra, 156 (1993), 373402.

H. Craig Huneke . The primary components of and integral closures of ideals in 3-dimensional regular local rings. Math. Annalen, 275 (1986), 617635.

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Mathematika
  • ISSN: 0025-5793
  • EISSN: 2041-7942
  • URL: /core/journals/mathematika
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