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Communications in Algebra Volume 23, 1995 - Issue 12
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Original Articles

Cohen-macaulay associated graded rings for ideals which are not generic complete intersectons

Ian M. Aberbach Department of Mathematics, University of Missouri, 65211, Columbia, MO
Pages 4509-4520 | Received 01 Dec 1994, Published online: 27 Jun 2007

References

  • Aberbach , I.M. Local reduction numbers and Cohen-Macaulayness of associated graded rings , J. Alg. .
  • Aberbach , I.M. , Huckaba , S. and Huneke , C. Reduction numbers, Rees algebras,and Pfaffian ideals , J. Pure Appl. Alg .
  • Aberbach , I. M. and Huckaba , S. 1995 . Comm. in Alg . Reduction number bounds on analytic deviation two ideals and Cohen-Macaulayness of associated graded rings , 23 : 2003 – 2026 .
  • Aberbach , I. M. and Huneke , C. 1993 . Math. Ann . An improved Briangon-Skoda theorem with applications to the Cohen-Macaulayness of Rees algebras , 297 : 343 – 369 .
  • Aberbach , I.M. , Huneke , C. and Trung , N.V. Reduction numbers, Briangon-Skoda theorems and the depth of Rees rings , Comp. Math .
  • Brodmann , M. 1979 . Proc. Amer. Math. Soc . Aymptotic stability of Ass(M/InM) , 74 : 16 – 18 .
  • Cowsik , R. C. and Nori , M. V. 1976 . J. Indian Math. Soc . On the fibres of blowing up , 40 : 217 – 222 .
  • Gota , S. and Nakamura , Y. 1994 . Contemporary Math . On the Gorenseinness of graded rings associated to ideals of analytic deviation one , 159 : 51 – 72 .
  • Goto , S. , Nakamura , Y. and Trung , N.V. Cohen-Macaulay Rees algebras of ideals having analytic deviation two , Preprint .
  • Goto , S. , Nakamura , Y. and Trung , N.V. Gorenstein graded rings associated to ideals of analytic. deviation two , Preprint .
  • Goto , S. , Nakamura , Y. and Nishida , K. Cohen-Macaulay graded rings associated to ideals , Preprint .
  • Huckaba , S. and Huneke , C. 1992 . Amer. J. Math . Powers of ideals having small analytic deviation , 114 : 367 – 403 .
  • Huckaba , S. and Huneke , C. 1993 . Trans. Amer. Math. Soc . Rees algebras of ideals having small analytic deviation , 339 : 373 – 402 .
  • Johnson , M. and Ulrich , B. Artin-Nagata properties and Cohen-Macaulay Rees algebras , Preprint .
  • Northcott , D. G. and Rees , D. 1954 . Math. Proc. Camb. Phil. Soc . Reductions of ideals in local rings , 50 : 145 – 158 .
  • Simis , A. , Ulrich , B. and Vascoiicclos , W.V. Cohen-Macaulay Rees algebras and degrees of polynomial relations , Math. Ann .
  • Tang , Z. 1994 . Comm. in Alg . Rees rings and associated graded rings of ideals having higher analytic deviation , 22 : 4855 – 4898 .
  • Ulrich , B. 1994 . Cont. Math . Artin-Nagata properties and reductions of ideals , 159 : 373 – 400 .
  • Ulrich , B. Lecture notes on Cohen-Macaulayness of associated graded rings and reduction numbers of ideals , Preprint .
  • Ulrich , B. and Vasconcelos , W. 1993 . The equations of Reed algebras of ideas with linear presentation . Math Z. , Z214 : 79 – 92 .
  • Valabrega , P. and Valla , G. 1978 . Nagoya Math. J . Form rings an regular sequences , 72 : 91 – 101 .
  • Vasconcelos , W. V. 1991 . Reine Angew. Math . On the equations of Rees algebras, J , 418 : 189 – 218 .

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