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Remarks on generalized analytic independence

Published online by Cambridge University Press:  24 October 2008

Giuseppe Valla
Giuseppe Valla
Affiliation:
Istituto Matematico, University of Genoa, Italy
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Extract

This paper is concerned with the notion of independence relating sets of elements in a ring A to a proper ideal a of A. A set of elements a1, …, an ∈A is called a-independent if every form in A[X1, …, Xn] vanishing at a1,…, an has all its coefficients in a. This notion leads to many questions (cf. (2) and (12)), which are of some interest in their own right, several of which are considered here. On the other hand, this independence is related to the structure of the graded ring associated to the ideal generated by the set of elements, hence is often relevant to some problems concerning regular sequences and complex.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 85 , Issue 2 , March 1979 , pp. 281 - 289
Copyright
Copyright © Cambridge Philosophical Society 1979

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References

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