Hostname: page-component-7bb8b95d7b-495rp Total loading time: 0 Render date: 2024-09-18T02:52:27.379Z Has data issue: false hasContentIssue false
  • English
  • Français

When is a regular sequence super regular?

Published online by Cambridge University Press:  22 January 2016

J. Herzog
J. Herzog*
Affiliation:
Universität Essen – Gesamthochschule, Fachbereich 6, Universitätsstr. 3
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let (=,F) be a filtered, noetherian ring. A sequence x = x1 …, xn in B is called super regular if the sequence of initial forms

ξ = L(x1, …, ξn = L(xn)

is a regular sequence in grF(B).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 83 , October 1981 , pp. 183 - 195
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1981

References

Literature

[1] Bourbaki, N., Algèbre commutative, Hermann, Fase, XXVIIIfi, Chap. 3.Google Scholar
[2] Herzog, J., Generators and Relations of Abelian Semigroups and Semigroup Rings, manuscripta math., 3 (1970), 175–193.Google Scholar
[3] Hironaka, H., Certain numerical characters of singularities, J. Math. Kyoto Univ., 10 (1970), 151–187.Google Scholar
[4] Sally, J., On the associated graded ring of a local Cohen-Macaulay ring, J. Math. Kyoto Univ., 17 (1977), 19–21.Google Scholar
[5] Sally, J., Tangent cones at Gorenstein singularities, to appear in Comp. Math.Google Scholar
[6] Vallabrega, P. and Valla, G., Form rings and regular sequences, Nagoya Math. J., 72 (1978), 93–101.Google Scholar
[7] Valla, G. and Robbiano, L., On the equations defining tangent cones, to appear in Proc. Camb. Phil. Soc., 88 (1980), 281–297.Google Scholar