| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Dept Math, Inst Math & Comp Sci, ICMC, Sao Paulo - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | MATHEMATICA SCANDINAVICA; v. 121, n. 1, p. 5-18, 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
Let (R, m) be a quasi-unmixed local ring and I an equimultiple ideal of R of analytic spread s. In this paper, we introduce the equimultiple coefficient ideals. Fix k is an element of [1, . . . , s]. The largest ideal L containing I such that e(i)(I-p) = e(i)(L-p) for each i is an element of [1, . . . , k] and each minimal prime p of I is called the k-th equimultiple coefficient ideal denoted by I-k. It is a generalization of the coefficient ideals introduced by Shah for the case of m-primary ideals. We also see applications of these ideals. For instance, we show that the associated graded ring G(1)(R) satisfies the S-1 condition if and only if I-n = (I-n)(1 )for all n. (AU) | |
| FAPESP's process: | 12/20304-1 - Multiplicity, mixed multiplicities, Hilbert coefficient for modules and equisingularity |
| Grantee: | Victor Hugo Jorge Pérez |
| Support Opportunities: | Scholarships abroad - Research |