• Title/Summary/Keyword: Cohomological degree

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ON A FAMILY OF COHOMOLOGICAL DEGREES

  • Cuong, Doan Trung;Nam, Pham Hong
    • Journal of the Korean Mathematical Society
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    • v.57 no.3
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    • pp.669-689
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    • 2020
  • Cohomological degrees (or extended degrees) were introduced by Doering, Gunston and Vasconcelos as measures for the complexity of structure of finitely generated modules over a Noetherian ring. Until now only very few examples of such functions have been known. Using a Cohen-Macaulay obstruction defined earlier, we construct an infinite family of cohomological degrees.