Messanae Universitas Studiorum

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 $A$.

    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
    Divisions: UNSPECIFIED
    Depositing User: Dr M P
    Date Deposited: 21 Sep 2012 10:15
    Last Modified: 02 Apr 2013 10:46
    URI: http://cab.unime.it/mus/id/eprint/747

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