The Dual Hilbert–Samuel Function of a Maximal Cohen-Macaulay Module

REFERENCES

• Atiyah , M. F. , Macdonald , I. G. ( 1969 ). Introduction to Commutative Algebra . Reading , Mass.-London-Don Mills, Ont : Addison-Wesley Publishing Co .
   Google Scholar
• Brodmann , M. P. , Sharp , R. Y. (1998). Local cohomology: an algebraic introduction with geometric applications . Cambridge Studies in Advanced Mathematics. Vol. 60 , Cambridge : Cambridge University Press.
   Google Scholar
• Bruns , W. , Herzog , J. ( 1993 ). Cohen-Macaulay Rings Cambridge Studies in Advanced Mathematics . Vol. 39 , Cambridge : Cambridge University Press .
   Google Scholar
• Matsumura , H. ( 1986 ). Commutative Ring Theory . Cambridge Studies in Advanced Mathematics . Vol. 8 , Cambridge : Cambridge University Press, Translated from the Japanese by M. Reid .
   Google Scholar
• Puthenpurakal , T. J. Dual filtrations and applications . work in progress .
   Google Scholar
• Puthenpurakal , T. J. Gorenstein approximation, dual filtrations and applications . Preprint. arXiv:0807.0471 .
   Google Scholar
• Puthenpurakal , T. J. ( 2003 ). Hilbert-coefficients of a Cohen-Macaulay module . J. Algebra 264 ( 1 ): 82 – 97 .
   Web of Science ®Google Scholar
• Sally , J. D. ( 1980 ). Tangent cones Gorenstein singularities . Compositio Math. 40 ( 2 ): 167 – 175 .
   Web of Science ®Google Scholar
• Theodorescu , E. ( 2002 ). Derived functors and Hilbert polynomials . Math. Proc. Cambridge Philos. Soc. 132 ( 1 ): 75 – 88 .
   Google Scholar
• Communicated by S. Goto.
   Google Scholar