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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Abelian extensions of regular local rings


Author: Paul Roberts
Journal: Proc. Amer. Math. Soc. 78 (1980), 307-310
MSC: Primary 13H05; Secondary 13H10
DOI: https://doi.org/10.1090/S0002-9939-1980-0553363-8
MathSciNet review: 553363
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Abstract | References | Similar Articles | Additional Information

Abstract: The integral closure of a regular local ring in a finite Abelian extension of its quotient field is Cohen-Macaulay, provided that the degree of the extension is not divisible by the characteristic of the residue field.


References [Enhancements On Off] (What's this?)

  • [1] N. Bourbaki, Commutative algebra, Hermann, Paris, 1972. MR 0360549 (50:12997)
  • [2] A. Grothendieck and J. Dieudonné, Eléments de géométrie algébrique. I, Springer-Verlag, Berlin and New York, 1971. MR 0354651 (50:7129)
  • [3] M. Hochster, Topics in the homological theory of modules over commutative rings, Regional Conference Series in Mathematics, No. 24, Amer. Math. Soc., Providence, R.I., 1975. MR 0371879 (51:8096)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0553363-8
Article copyright: © Copyright 1980 American Mathematical Society

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