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Integrable derivations in rings of unequal characteristic

Published online by Cambridge University Press:  22 January 2016

Gaetana Restuccia
Affiliation:
Università di Messina, Istituto di Matematica 98100 Messina Via C. Battisti N.90, Italy
Hideyuki Matsumura
Affiliation:
Department of Mathematics, Nagoya University, Nagoya, 464, Japan
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In this paper we will investigate integrability of derivations in rings of unequal characteristic. Generally speaking this case is more difficult than the case of characteristic p which was studied in [4], New interesting phenomena arise, cf. e.g. Theorem 1 and Example 3. Although we obtain useful sufficient conditions for integrability only in very restricted cases, we also give several examples to illuminate the situation.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1984

References

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[ 3 ] Grothendieck, A. and Dieudonné, J., Éléments de Géométrie Algébrique, Oiv, Publ. I.H.E.S., no. 20, 1964.Google Scholar
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[ 5 ] Suzuki, S., Differentials of Commutative Rings, Queen’s Papers in Pure and Applied Math., no. 29, 1971.Google Scholar