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Original Articles

Associated Primes of the Example of Brenner and Monsky

Pages 109-123 | Received 11 Feb 2011, Published online: 04 Jan 2013

REFERENCES

  • Brenner , H. , Monsky , P. ( 2010 ). Tight closure does not commute with localization . Annals of Math. 171 : 571 – 588 .
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  • Katzman , M. ( 2002 ). An example of an infinite set of associated primes of a local cohomology module . J. Algebra 252 ( 1 ): 161 – 166 .
  • Monsky , P. ( 1998 ). Hilbert-Kunz functions in a family: point-S 4 quartics . J. Algebra 208 : 343 – 358 .
  • Monsky , P. Tight closure's failure to localize—a self-contained exposition. arXiv:0902.1120 .
  • Dinh , T. ( 2009 ). Growth of primary decompositions of Frobenius powers of ideals . J. Algebra 321 : 829 – 846 .
  • Sharp , R. , Nossem , N. ( 2004 ). Ideals in a perfect closure, linear growth of primary decompositions, and tight closure . Trans. Amer. Math. Soc. 356 ( 9 ): 3687 – 3720 .
  • Singh , A. , Swanson , I. ( 2004 ). Associated primes of local cohomology and of Frobenius powers . Int. Math. Res. Not. 33 : 1703 – 1733 .
  • Smith , K. , Swanson , I. ( 1997 ). Linear bounds on growth of associated primes for monomial ideals . Comm. in Algebra 25 : 3071 – 3079 .
  • Communicated by S. Goto.

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