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    • Keywords


      Tight closure; localization; test elements.

    • Abstract


      It is shown that tight closure commutes with localization in any two-dimensional ring 𝑅 of prime characteristic if either 𝑅 is a Nagata ring or 𝑅 possesses a weak test element. Moreover, it is proved that tight closure commutes with localization at height one prime ideals in any ring of prime characteristic.

    • Author Affiliations


      Kamran Divaani-Aazar1 2 Massoud Tousi2 3

      1. Department of Mathematics, Az-Zahra University, Vanak, Post Code 19834, Tehran, Iran
      2. Institute for Studies in Theoretical Physics and Mathematics, P. O. Box 19395-5746, Tehran, Iran
      3. Department of Mathematics, Shahid Beheshti University, Tehran, Iran
    • Dates

  • Proceedings – Mathematical Sciences | News

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