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Monoidal transformations in a one-dimensional local ring

Published online by Cambridge University Press:  26 February 2010

D. Kirby
D. Kirby
Affiliation:
The University, Leeds, 2.
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Extract

During the past seven years Northcott has published several papers (see, for example, [6, 7, 8, 9]) in which he has investigated the local aspect of the theory of dilatations. In a similar manner we shall develop in a later paper a local theory of monoidal transformations of which the global analogue appears in [2]. The present note is concerned with such a theory in the one-dimensional case and closely follows the development given in [8] for local dilatations. Indeed the theorems of the present note are all natural generalizations of theorems which have previously been given by Northcott, and for the most part the proofs are essentially Northcott's proofs.

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Type
Research Article
Information
Mathematika , Volume 9 , Issue 2 , December 1962 , pp. 135 - 144
Copyright
Copyright © University College London 1962

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References

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