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Original Articles

Local-Global Principle for the Artinianness of Local Cohomology Modules

Pages 58-63 | Received 06 Oct 2008, Published online: 17 Jan 2012

REFERENCES

  • Brodmann , M. P. , Rotthaus , Ch. , Sharp , R. Y. ( 2000 ). On annihilators and associated primes of local cohomology modules . J. Pure Appl. Algebra 153 : 197 – 227 .
  • Brodmann , M. P. , Sharp , R. Y. ( 1998 ). Local Cohomology—An Algebraic Introduction with Geometric Applications . Cambridge : Cambridge University Press .
  • Faltings , G. ( 1981 ). Der Endlichkeitssatz in der lokalen Kohomologie . Math. Ann. 255 : 45 – 56 .
  • Lü , R. , Tang , Z. ( 2002 ). The f-depth of an ideal on a module . Proc. Amer. Math. Soc. 130 : 1905 – 1912 .
  • Melkersson , L. ( 1990 ). On asymptotic stability for sets of prime ideals connected with powers of an ideal . Math. Proc. Camb. Phil. Soc. 107 : 267 – 271 .
  • Melkersson , L. ( 1995 ). Some applications of a criterion for Artinianness of a module . J. Pure Appl. Algebra 101 : 291 – 303 .
  • Communicated by A. Singh.

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