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On derivations of fields of algebraic functions

Published online by Cambridge University Press:  20 January 2009

Julio R. Bastida
Julio R. Bastida
Affiliation:
Florida Atlantic UniversityBoca Raton, Florida 33432
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In this note, we shall prove that the transcendency degree of a finitely generated field extension is equal to a certain integer associated with a restriction mapping of spaces of derivations.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 23 , Issue 3 , October 1980 , pp. 239 - 241
Copyright
Copyright © Edinburgh Mathematical Society 1980

References

REFERENCES

(1)Palais, R. S., Seminar on the Atiyah-Singer Index Theorem (Annals of Mathematics Studies, No. 37, Princeton, 1965).Google Scholar
(2)Zariski, O. and Samuel, P., Commutative Algebra, Vol. I (D. van Nostrand Co., Inc., Princeton, 1958).Google Scholar