Integrable derivations in rings of characteristic $p>0$

Bonazinga, V. (1992) Integrable derivations in rings of characteristic $p>0$ . Accademia Peloritana dei Pericolanti Classe FF.MM.NN., 70. pp. 101-117.

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Abstract

We study the strong integrability of a $\kappa-$ algebra $_A$ separable over $\kappa$ where $\kappa$ is a field of characteristic $p> O$ .
If $-A$ is a field, we state necessary and sufficiet conditions so that a finite number of derivations of $_A$ be strongly integrable.
If $_A$ is a local $k$ -algebra, one proves the strong integrability of a derivation $_D$ of $_A$ with $D^p = O$ and such that $_D(x) \ \in U(A)$ , for some $x \in A, U(A) =units$ of $A$ . Finally, we give some positive results in the case of $D(x) \not\in U(A)$ , for every $x \in A$ .

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Item Type:	Article
Subjects:	M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali > 1992 > 1992 Parte 2 M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Medico-Biologiche > 1992 > 1992 Parte 2 M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Giuridiche, Economiche e Politiche > 1992 > 1992 Parte 2 M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Lettere Filosofia e belle Arti > 1992 > 1992 Parte 2
Depositing User:	Dr M P
Date Deposited:	21 Sep 2012 07:40
Last Modified:	21 Sep 2012 07:40
URI:	http://cab.unime.it/mus/id/eprint/735

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