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Original Articles

Symmetric Reductions

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Pages 3189-3213 | Received 01 Feb 2003, Published online: 31 Aug 2006

References

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  • Johnson , M. and Ulrich , B. 1996 . Artin–Nagata properties and Cohen–Macaulay associated graded rings . Compositio Math. , 103 : 7 – 29 .
  • Nagata , M. 1962 . Local Rings , Interscience Tracts in Pure and Applied Mathematics, 13 New York, NY : Interscience Publishers .
  • Northcott , D. G. and Rees , D. 1954 . Reductions of ideals in local rings . Proc. Cambridge Philos. Soc. , 50 : 145 – 158 .
  • Trung , N. V. 2000 . Castelnuovo–Mumford regularity and analytic deviation of ideals . J. London Math. Soc. , 62 : 41 – 55 . [CROSSREF]
  • Ulrich , B. 1996 . Ideals having the expected reduction number . Amer. J. Math. , 118 : 17 – 38 .
  • Vasconcelos , W. V. 1999 . Reduction numbers of ideals . J. Algebra , 216 : 652 – 664 . [CROSSREF]
  • #Communicated by C. Maxson.

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