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 $A$.
| 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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