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Integrable derivations in rings of unequal characteristic

Published online by Cambridge University Press:  22 January 2016

Gaetana Restuccia  and
Hideyuki Matsumura
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
Information
Nagoya Mathematical Journal , Volume 93 , March 1984 , pp. 173 - 178
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1984

References

[ 1 ] André, M., Homologie des algebres commutatives, Springer, 1974.Google Scholar
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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
[ 4 ] Matsumura, H., Integrable derivations, Nagoya Math. J., 87 (1982), 227–245.Google Scholar
[ 5 ] Suzuki, S., Differentials of Commutative Rings, Queen’s Papers in Pure and Applied Math., no. 29, 1971.Google Scholar