Messanae Universitas Studiorum

Sul rango del modulo finito dei differenziali in caratteristica diseguale

Imbesi, Maurizio (1990) Sul rango del modulo finito dei differenziali in caratteristica diseguale. Accademia Peloritana dei Pericolanti Classe FF.MM.NN., 68. pp. 243-255.

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Abstract

We find a superior bound for the rank $\mu(D_A_/_I)$ of the finite differential module $D_A_/_I$ of a local ring $(A, m)$ whose characteristic is equal to zero and which contains a $DVR I$ with parameter the prime number $p > O$; exactly if we suppose that $p \not\in m^2$, $A/m$ is separably generated over $I/pI$ and $\rho$ = tr. deg $(A/m : I/pI) < \infty$ , prove that $\mu(D_A_/_I) \le \ Dim(A)-1 + \rho$, where $Dim(A)$ is the embedding dimension of $A$. Indeed, if $p \in m^2$, we obtain the superior bound $\mu(D_A_/_I) \le \ Dim(A) + \rho$, under some restrictive conditions over $A$.

Item Type: Article
Subjects: M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali > 1990
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Medico-Biologiche > 1990
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Giuridiche, Economiche e Politiche > 1990
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Lettere Filosofia e belle Arti > 1990
Depositing User: Dr M P
Date Deposited: 03 Oct 2012 10:32
Last Modified: 08 Apr 2013 08:27
URI: http://cab.unime.it/mus/id/eprint/872

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