Strongly Cohen–macaulay Ideals of Small Second Analytic Deviation
نویسنده
چکیده
We characterize the strongly Cohen–Macaulay ideals of second analytic deviation one in terms of depth properties of the powers of the ideal in the ‘standard range.’ This provides an explanation of the behaviour of certain ideals that have appeared in the literature.
منابع مشابه
Results on Generalization of Burch’s Inequality and the Depth of Rees Algebra and Associated Graded Rings of an Ideal with Respect to a Cohen-Macaulay Module
Let be a local Cohen-Macaulay ring with infinite residue field, an Cohen - Macaulay module and an ideal of Consider and , respectively, the Rees Algebra and associated graded ring of , and denote by the analytic spread of Burch’s inequality says that and equality holds if is Cohen-Macaulay. Thus, in that case one can compute the depth of associated graded ring of as In this paper we ...
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