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Generators for a maximally differential ideal in positive characteristic

Published online by Cambridge University Press:  22 January 2016

Alok Kumar Maloo
Alok Kumar Maloo*
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay-400 005, INDIA
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In this note we give the structure of maximally differential ideals in a Noetherian local ring of prime characteristic p > 0, in terms of their generators. More precisely, we prove the following result:

THEOREM 4. Let A be a Noetherian local ring of prime characteristic p > 0 with maximal ideal m. Let I be a proper ideal of A. Suppose n= emdim(A) and r = emdim(A/l). If I is maximally differential under a set of derivations of A then there exists a minimal set xl,…,xn of generators of m such that I = (xρl, …,xρr, xr+1,…xn).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 132 , December 1993 , pp. 37 - 41
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1993

References

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