Integrable derivations II

Restuccia, Gaetana and Matsumura, H. (1992) Integrable derivations II. Accademia Peloritana dei Pericolanti Classe FF.MM.NN., 70. pp. 153-172.

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Abstract

We establish some theorems of strong integrability for derivations of a $k$ -algebra $A$ of characteristic $p > O$ . After having formally generalized Lipman’s theorem in characteristic $O$ , by using differentiations instead of derivations, we extend Lipman’s theorem to rings of characteristic $p > O$ , under conditions concerning $A$ ( $A$ regular local) and the derivations of $A$ . If $A$ is a field, we study the connection between the separability of $A$ over $k$ and the strong integrability of derivations of $A$ .

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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 08:15
Last Modified:	02 Apr 2013 08:46
URI:	http://cab.unime.it/mus/id/eprint/747

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