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Original Articles

On the defining equations of multi-graded rings

Pages 1393-1402 | Received 01 Nov 1997, Published online: 27 Jun 2007

References

  • Goddard , L.S. 1943 . Bases for the prime ideals associated with certain classes of algebraic varieties . Proc. Camb. Phil. Soc , 39 : 35 – 48 .
  • Herrmann , M. , Hyry , E. and Ribbe , J. 1993 . On the Cohen-Macaulay and Gorenstein properties of multi-Rees algebras . Manus. Mat , 79 : 343 – 377 .
  • Herrmann , M. , Hyry , E. and Ribbe , J. 1995 . On multi-Rees algebras (with an appendix by N.V. Trung) . Math. Ann , 301 : 249 – 279 .
  • Herrmann , M. , Hyry , E. , Ribbe , J. and Tang , Z. 1997 . Reduction numbers and multiplicities of multigraded structures . J. Algebra , 197 : 311 – 341 .
  • Korb , T. and Nakamura , T. 1997 . On the Cohen-Macaulayness of multi-Rees algebras and Rees algebras of powers of ideals . J. Math. Soc. Japan , 50 To appear
  • Herrmann , M. , Hyry , E. and Korb , T. 1996 . Filter-regularity and Cohen-Macaulay multigraded Rees algebras . Commun. Algebra , 24 : 2177 – 2200 .
  • Herrmann , M. , Hyry , E. and Korb , T. 1997 . On Rees algebras with a Gorenstein Veronese subring . J. Algebra , 200 : 279 – 311 .
  • Johnston , B. and Katz , D. 1994 . On the relation type of large powers of an ideal . Mathematika , 41 : 209 – 214 .
  • Martin , H.M. 1994 . Notes on quadratic sequences . Comm. Algebra , 22 : 307 – 319 .
  • Simis , A. , Ulrich , B. and Vasconcelos , W.V. 1995 . Cohen-Macaulay Rees algebras and degrees of polynomial relations . Math. Ann , 301 : 421 – 444 .
  • Ulrich , B. and Vasconcelos , W.V. 1993 . The equations of Rees algebras of ideals with linear presentation . Math. Z , 214 : 79 – 92 .
  • Vasconcelos , W.V. 1991 . On the equations of Rees algebras . J. reine angew. Math , 418 : 189 – 218 .

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