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 |
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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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