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Original Articles

Graded Local Cohomology: Attached and Associated Primes, Asymptotic Behaviors

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Pages 1567-1576 | Received 26 Jan 2006, Published online: 07 May 2007

REFERENCES

  • Bourbaki , N. ( 1972 ). Commutative Algebra . Translated from the French . Paris : Hermann, Reading, Mass : Addison-Wesley Publishing Co.
  • Brodmann , M. ( 2005 ). Asymptotic behavior of cohomology: tameness, supports and associated primes . Contemporary Matematics . 390 : 31 – 61 . Proceedings of the International Conference in Mathematics, Bangalore/India, December, 2003 .
  • Brodmann , M. P. , Sharp , R. Y. ( 1998 ). Local cohomology: an algebraic introduction with geometric applications . Cambridge Studies in Advanced Mathematics 60 . Cambridge : Cambridge University Press .
  • Brodmann , M. , Lashgari , A. F. ( 2000 ). A finiteness result for associated primes of local cohomology modules . Proc. Amer. Math. Soc. 128 : 2851 – 2853 .
  • Brodmann , M. , Hellus , M. ( 2002 ). Cohomological pattern of cohherent sheaves over projective schemes . J. Pure and Applied Algebra 172 : 165 – 182 .
  • Brodmann , M. P. , Rohrer , F. , Sazeedeh , K. ( 2005 ). Multiplicities of graded components of local cohomology modules . J. Pure and Applied Algebra 197 : 249 – 278 .
  • Dibaei , M. T. , Yassemi , S. ( 2005a ). Attached primes of the top local cohomology modules with respect to an ideal . Arch. Math. 84 : 292 – 297 .
  • Dibaei , M. T. , Yassemi , S. (2005b). Associated primes and cofiniteness of local cohomology modules. Manuscripta Math. 117:199–205.
  • Dibaei , M. T. , Yassemi , S. ( 2006 ). Associated primes of the local cohomology modules . In: Goeters , P. , Jenda , O. M. G. , eds. Abelian Groups, Rings, Modules, and Homological Algebra . Vol. 249 . Lecture Note in Pure and Applied Mathematics . Taylor & Francis Group .
  • Divaani-Aazar , K. , Mafi , A. ( 2004 ). Associated primes of local cohomology modules . Proc. Amer. Math. Soc. 133 : 655 – 660 .
  • Macdonald , I. G. , Sharp , R. Y. ( 1972 ). An elementary proof of the non-vanishing of certain local cohomology modules . Quart. J. Math. Oxford 23 : 197 – 204 .
  • Richardson , A. S. ( 2003 ). Attached primes of graded modules . Comm. Alg. 31 : 2603 – 2613 .
  • Rotthaus , C. , Şega , L. M. ( 2005 ). Some properties of graded local cohomology modules . J. Algebra 283 : 232 – 247 .
  • Communicated by I. Swanson.

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