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On coefficient ideals

Published online by Cambridge University Press:  11 June 2018

R. CALLEJAS-BEDREGAL
Affiliation:
Departamento de Matemática, CCEN - Centro de Ciências Exatas e da Natureza, UFPB - Universidade Federal da Paraíba e-mail: [email protected]
V. H. JORGE PÉREZ
Affiliation:
Departamento de Matemática, ICMC - Instituto de Ciências da Computação e Matemática, USP - Universidade de São Paulo e-mail: [email protected]
M. DUARTE FERRARI
Affiliation:
Departamento de Matemática, CCE - Centro de Ciências Exatas, UEM - Universidade Estadual de Maringá e-mail: [email protected]

Abstract

Let (R, 𝔪) be a Noetherian local ring and I an arbitrary ideal of R with analytic spread s. In [3] the authors proved the existence of a chain of ideals II[s] ⊆ ⋅⋅⋅ ⊆ I[1] such that deg(PI[k]/I) < sk. In this article we obtain a structure theorem for this ideals which is similar to that of K. Shah in [10] for 𝔪-primary ideals.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 2018 

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References

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