EQUIMULTIPLE COEFFICIENT IDEALS

Autor(es)

Lima, P. H. ^[1] ; Jorge Perez, V. H. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Dept Math, Inst Math & Comp Sci, ICMC, Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: MATHEMATICA SCANDINAVICA; v. 121, n. 1, p. 5-18, 2017.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 12/20304-1 - Multiplicidades, multiplicidades mistas, coeficientes de Hilbert para módulos e equisingularidade
• Beneficiário: Victor Hugo Jorge Pérez
• Modalidade de apoio: Bolsas no Exterior - Pesquisa