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Powers of ideals having small analytic deviation. (English) Zbl 0758.13001
The analytic spread $$\ell(I)$$ of an ideal $$I$$ of a Noetherian local ring $$(R,M)$$ with infinite residue field is defined as the Krull dimension of the graded ring $$\bigoplus^ \infty_{i=0}(I^ i/MI^ i)$$ and $$\ell(I)-ht(I)$$ is said to be the analytic deviation of $$I$$. The paper is devoted to a detailed study of ideals in Cohen-Macaulay local rings having analytic deviations one or two. In the last part of the paper some illustrative examples and applications are presented.
Reviewer: L.Bican (Praha)

##### MSC:
 13A30 Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics 13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) 13A15 Ideals and multiplicative ideal theory in commutative rings
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