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On Regular Sequences

Published online by Cambridge University Press:  22 January 2016

J. Dieudonné
J. Dieudonné*
Affiliation:
University of Nice Nice, France
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The concept of regular sequence of elements of a ring A (first introduced by Serre under the name of A-sequence [2]), has far-reaching uses in the theory of local rings and in algebraic geometry. It seems, however, that it loses much of its importance when A is not a noetherian ring, and in that case, it probably should be superseded by the concept of quasi-regular sequence [1].

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 27 , Issue 1 , February 1966 , pp. 355 - 356
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

[1] Grothendieck, A., Eléments de Géométrie algébrique, chap. IV, lre partie, Publ. math. I.H.E.S. No. 20, 1964.Google Scholar
[2] Serre, J. P., Sur la dimension cohomologique des anneaux et des modules noethériens, Proc. Intern. Symp. on Alg. Number theory, p. 176–189, Tokyo-Nikko, 1955.Google Scholar