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Remarks on regular sequences

Published online by Cambridge University Press:  22 January 2016

David Eisenbud ,
Manfred Hermann  and
Wolfgang Vogel
David Eisenbud
Affiliation:
Brandeis University, Department of Mathematics
Manfred Hermann
Affiliation:
Humboldt-University, Department of Mathematics
Wolfgang Vogel
Affiliation:
Martin-Luther-University, Department of Mathematics
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In this note we exhibit a condition under which a sequence of elements a1, …, an in a commutative noetherian local ring A form an A-sequence, and derive a number of corollaries.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 67 , August 1977 , pp. 177 - 180
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1977

References

[1] Atiyah, M. F. and MacDonald, I. G., Introduction to Commutative Algebra. Addison-Wesley, London 1969.Google Scholar
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[3] Davis, Edward, Pacific J. Math. Vol. 20 (1967).Google Scholar
[4] Grothendieck, A., Éléments de géometrie algébrique. I.H.E.S., Publ. Math. Nr. 20, Paris 1964.Google Scholar
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[6] Vasconcelos, W., Ideals generated by R-sequences. J. of Algebra 6 (1967), 309–316.Google Scholar