Powers of ideals generated by Quadratics Sequences

Raghavan, K. N. (1994) Powers of ideals generated by Quadratics Sequences Transactions of the American Mathematical Society, 343 (2). pp. 727-747. ISSN 0002-9947

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Official URL: http://www.ams.org/journals/tran/1994-343-02/S0002...

Abstract

Huneke's conjecture that weak d-sequences generate ideals of quadratic type is proved. The proof suggests the definition of quadratic sequences, which are more general than weak d-sequences yet simpler to define and handle, in addition to being just as useful. We extend the theory of d-sequences and weak d-sequences to quadratic sequences. Results of Costa on sequences of linear type are generalized. An example of a two-dimensional local domain in which every system of parameters is a d-sequence in some order but which nevertheless fails to be Buchsbaum is given. A criterion is established for when equality holds in Burch's inequality for an ideal generated by a quadratic sequence.

Item Type:Article
Source:Copyright of this article belongs to American Mathematical Society.
ID Code:70175
Deposited On:17 Nov 2011 15:05
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