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Regular sequences in Rees and symmetric algebras,II

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Abstract

In continuing [7] we study necessary and sufficient conditions for a system of elements b1,...,bs,a1,...,at of a local Noetherian ring A such that the sequence b1,...,bs,a1T,a1-a2T,...,at−1-atT,at in the Rees algebra A[a1 T,...,at T], T is an indeterminate, constitutes a regular sequence.

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References

  1. Barshay, J.: Graded algebras of powers of ideals generated by A-sequences. J. Algebra25, 90–99 (1973)

    Google Scholar 

  2. Goto, S.: On Buchsbaum rings obtained by glueings. Preprint, Nihon University, 1980

  3. Goto, S., Shimoda, Y.: On Rees algebras over Buchsbaum rings. J. Math. Kyoto Univ.20, 691–708 (1980)

    Google Scholar 

  4. Grothendieck, A.: Local cohomology. Lecture Notes in Math.41, Springer-Verlag, Berlin-Heidelberg-New York, 1967

    Google Scholar 

  5. Kaplansky, I.: Commutative rings. Boston, 1970

  6. Matijevic, J., Roberts, P.: A conjecture of Nagata, on graded Cohen-Macaulay rings. J. Math. Kyoto Univ.14, 125–128 (1974)

    Google Scholar 

  7. Schenzel, P.: Regular sequences in Rees and symmetric algebras. Preprint, ETH Zürich, 1981

  8. Stückrad, J., Vogel, W.: Toward a theory of Buchsbaum singularities. Amer. J. Math.100, 727–746 (1978)

    Google Scholar 

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Schenzel, P. Regular sequences in Rees and symmetric algebras,II. Manuscripta Math 35, 331–341 (1981). https://doi.org/10.1007/BF01263267

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  • DOI: https://doi.org/10.1007/BF01263267

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