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Length Approximations for Independently Generated Ideals

✍ Scribed by Douglas Hanes

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 87 KB
Volume: 237
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8598

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✦ Synopsis

We study ideals primary to the maximal ideal of a commutative Noetherian local ring. When such an ideal is generated by elements which are independent in the sense of C. Lech, we prove a lower bound on the length of the quotient ring in terms of the orders of the generators. As a corollary we obtain a substantial partial result on Lech's conjecture on the multiplicities of a flat couple of local rings.

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