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Original Articles

INTEGRAL CLOSURE AND IDEAL TOPOLOGIES IN MODULES

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Pages 5239-5250 | Received 01 May 2000, Published online: 01 Feb 2007

REFERENCES

  • Rees , D. 1987 . Reduction of Modules . Proc. Cambridge Phils. Soc. , 110 : 431 – 449 .
  • Rush , D. E. 1992 . Asymptotic Primes and Integral Closure in Modules . Quart. J. Math. Oxford , 43 ( 2 ) : 477 – 499 .
  • Mohan , R. 1997 . The Core of a Module over a Two-Dimensional Regular Local Ring . J. Algebra , 189 : 1 – 22 .
  • Kodiyalam , V. 1995 . Integrally Closed Modules over Two-Dimensional Regular Local Rings . Trans. Amer. Math. Soc. , 349 : 3551 – 3573 .
  • Katz , D. and Kodiyalam , V. 1997 . Symmetric Powers of Complete Modules over a Two-dimensional Regular Local Ring . Trans. Amer. Math. Soc. , 349 : 747 – 762 .
  • Liu , J. C. 1998 . Ratliff-Rush Closure and Coefficient Modules . J. Algebra , 201 : 584 – 603 . Univ
  • McAdam , S. 1987 . Quintasymptotic Primes and Four Results of Schenzel . J. Pure Appl. Algebra , 47 : 283 – 298 .
  • Ahn , S. H. 1995 . Asymptotic Primes and Asymptotic Grade on Modules . J. Algebra , 174 : 980 – 998 .
  • Sharp , R. Y. 1998 . Linear Growth of Primary Decompositions of Integral Closures . J. Algebra , 207 : 276 – 284 .
  • Matsumura , H. 1986 . Commutative Ring Theory Cambridge : Cambridge Press .
  • McAdam , S. 1983 . “ Lecture Notes in Math. 1023 ” . In Asymptotic Prime Divisors New York : Springer .
  • Bourbaki , N. 1972 . Commutative Algebra Paris : Herman .
  • Nagata , M. 1961 . Local Rings New York : Interscience .
  • Schenzel , P. 1993 . Explicit Computations around the Lichtenbaum-Hartshorne Vanishing Theorem . Manuscripta Math. , 78 : 57 – 68 .
  • Brodmann , M. P. and Sharp , R. Y. 1998 . Local Cohomology: An Algebraic Introduction with Geometric Applications Cambridge : Cambridge Univ. Press .

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