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Original Articles

The Noetherian Properties of the Rings of Differential Operators on Central 2-Arrangements

Pages 2114-2131 | Received 08 Jun 2011, Published online: 14 May 2013

REFERENCES

  • Bernstein , J. N. , Gel'fand , I. M. , Gel'fand , S. I. ( 1972 ). Differential operators on the cubic cone . Russian Math. Surveys 27 : 169 – 174 .
  • Goodearl , K. R. , Warfield , R. B. ( 1989 ). An Introduction to Noncommutative Noetherian Rings . London Mathematical Society Student Texts, Vol. 16 . Cambridge : Cambridge University Press .
  • Holm , P. ( 2002 ). Differential operators on arrangements of hyperplanes. PhD. Thesis, Stockholm University .
  • Holm , P. ( 2004 ). Differential operators on hyperplane arrangements . Comm. Algebra 32 : 2177 – 2201 .
  • McConnell , J. C. , Robson , J. C. (1987). Noncommutative Noetherian Rings . Pure and Applied Mathematics, Chichester : John Wiley & Sons.
  • Muhasky , J. L. ( 1988 ). The differential operator ring of an affine curve . Trans. Amer. Math. Soc. 307 : 705 – 723 .
  • Nǎstǎsescu , C. , Van Oystaeyen , F. ( 1982 ). Graded Ring Theory . Amsterdam : North-Holland .
  • Orlik , P. , Terao , H. ( 1992 ). Arrangements of Hyperplanes. Grundlehren Dermatematischen Wissenschaften, Vol. 300. Springer-Verlag .
  • Resco , R. ( 1984 ). Affine domains of fnite Gel'fand-Kirillov dimension which are right, but not left, Noetherian . Bull. London Math. Soc. 16 ( 6 ): 590 – 594 .
  • Saito , M. , Takahashi , K. ( 2009 ). Noetherian properties of rings of differential operators of affine semigroup algebras . Osaka J. Math. 46 : 529 – 556 .
  • Smith , S. P. , Stafford , J. T. ( 1988 ). Differential operators on an affine curve . Proc. London Math. Soc. 56 ( 3 ): 229 – 259 .
  • Snellman , J. ( 2005 ). A conjecture on Poincaré-Betti series of modules of differential operators on a generic hyperplane arrangement . Experiment. Math. 14 : 445 – 456 .
  • Communicated by A. Smoktunowicz.

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