Some properties of (C,E,P)-algebras : Overgneration and 0-order estimates
Abstract
We give a new definition of the so-called overgenerated rings, which are the usual tool used to define the asymptotic structure of a (C,E,P)-algebra, written as a factor space M(A,E,P)/N(IA,E,P). With this new definition and in the particular case of E=C∞, we show that a moderate element i.e. in M(A,E,P) is negligible if and only if it satisfies the C⁰-order estimate for the ideal N(IA,E,P).
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