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Integrable derivations

Published online by Cambridge University Press:  22 January 2016

Hideyuki Matsumura
Hideyuki Matsumura*
Affiliation:
Department of Mathematics, Nagoya University
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Let A be a commutative ring and D be a derivation of A into itself. If there exists a homomorphism E: A → A[[t]] such that

then we say that D is integrable. Integrable derivations have many good properties. In fact, most of unpleasant phenomena of derivations in characteristic p disappear if we consider integrable derivations only.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 87 , November 1982 , pp. 227 - 245
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1982

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