Powers of Ideals Having Small Analytic Deviation
Copyright policy )Powers of Ideals Having Small Analytic Deviation
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.
Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), ideals in Cohen-Macaulay local rings, analytic deviation, Ideals and multiplicative ideal theory in commutative rings, analytic spread
Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), ideals in Cohen-Macaulay local rings, analytic deviation, Ideals and multiplicative ideal theory in commutative rings, analytic spread
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