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Regular sequences in Rees and symmetric algebras I

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Abstract

In this paper we describe necessary and sufficient conditions for a system of elements a1,...,at of a local Noetherian ring A such that the sequence a1T,a1−a2T,...,at−1− atT, atin the Rees algebra A[a1T,...,atT], T is an indeterminate, constitutes a regular sequence.

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Authors and Affiliations

  1. Forschungsinstitut für Mathematik, ETH Zürich, CH-8092, Zürich

    Peter Schenzel

  2. Sektion Mathematik, Martin-Luther-Universität Halle-Wittenberg, DDR-4010, Halle

    Peter Schenzel

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  1. Peter Schenzel
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Schenzel, P. Regular sequences in Rees and symmetric algebras I. Manuscripta Math 35, 173–193 (1981). https://doi.org/10.1007/BF01168455

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