24
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Reduction number boundson analytic deviation 2 ideals andcohen-macaulayness of associated graded rings

&
Pages 2003-2026 | Received 01 Jul 1994, Published online: 27 Jun 2007

References

  • Aberbach , I.M. , Huckaba , S. and Huneke , C. Reduction numbers, Rees algebras and Pfaffian ideals , J.Pure Appl. Alg . to appear
  • Aberbach , I. M. and Huneke , C. 1993 . An improved Briancon-Skoda theorem with applications to the Cohen-Macaulayness of Rees algebras . Math. Ann , 297 : 343 – 369 .
  • Aberbach , I.M. , Huneke , C. and Trung , N.V. Reduction numbers, BrianconSkoda theorems and the depth of Rees rings , Composito Math. . to appear
  • Avramov , L. and Herzog , J. 1980 . The Koszul algebra of a codimension 2 embedding . Math. Z , 175 : 249 – 260 .
  • Brodmann , M. 1979 . Asymptotic stability of Ass(M/InM) . Proc. Am. Math. Soc , 74 : 16 – 18 .
  • Burch , L. 1968 . On ideals of finite homological dimension in local rings . Proc. of Camb. Phil. Soc , 64 : 941 – 948 .
  • Eisenbud , D. and Huneke , C. 1983 . Cohen-Macaulay Rees algebras and their specialization . J. Algebra , 81 : 202 – 224 .
  • Goto , S. and Nakamura , Y. Cohen-Macaulay Rees algebras of ideals having analytic deviation two , preprint .
  • Hochster , M. and Ratliff , L.J. 1973 . Jr., Five Theorems on Macaulay rings . Pacific J. Math , 44 : 147 – 172 .
  • Huckaba , S. and Huneke , C. 1992 . Powers of ideals having small analytic deviation . Amer. J. Math , 114 : 367 – 403 . pp
  • Huckaba , S. and Huneke , C. 1993 . Rees algebras of ideals having small analytic deviation . Trans. Amer. Math. Soc , 339 : 373 – 402 .
  • Huneke , C. 1982 . On the associated graded ring of an ideal, Illinois . J. Math , 26 : 121 – 137 .
  • Huneke , C. 1982 . Linkage and Koszul homology of ideals . Amer. J. Math , 104 ( 5 ) : 1043 – 1062 .
  • Matijevic , J. and Roberts , P. 1974 . A conjecture of Nagata on graded Cohen-Macaulay rings . J. Math. Kyoto Univ , 14 ( 5 ) : 125 – 128 .
  • Northcott , D.G. and Rees , D. 1954 . Reductions of ideals in local rings . Math. Proc. Cambridge Phil. Soc , 50 ( 5 ) : 145 – 158 .
  • Simis , A. , Ulrich , B. and Vasconcelos , W.V.. Cohen-Macaulay Rees algebras and degress of polynomial relations , Math.Annalen, to appear .
  • Simis , A. and Vasconcelos , W.V. 1981 . The syzygies of the conormal module . Amer. J. Math , 103 ( 5 ) : 203 – 224 . pp
  • Tang , Z. 1994 . Rees rings and associated graded rings of ideals having higher analytic deviation . Communications in Alg , 22 ( 5 ) : 4855 – 4898 .
  • Ulrich , B. and Vasconcelos , W. V. 1993 . The equations of Rees algebras of ideals with linear presentation . Math. Z , 214 ( 5 ) : 79 – 92 .
  • Vasconcelos , W.V. 1991 . On the equations of Rees algebras . J. reine angew. Math , 418 ( 5 ) : 189 – 218 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.