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On coefficient ideals

Published online by Cambridge University Press:  11 June 2018

R. CALLEJAS-BEDREGAL ,
V. H. JORGE PÉREZ  and
M. DUARTE FERRARI
R. CALLEJAS-BEDREGAL
Affiliation:
Departamento de Matemática, CCEN - Centro de Ciências Exatas e da Natureza, UFPB - Universidade Federal da Paraíba e-mail: roberto@mat.ufpb.br
V. H. JORGE PÉREZ
Affiliation:
Departamento de Matemática, ICMC - Instituto de Ciências da Computação e Matemática, USP - Universidade de São Paulo e-mail: vhjperez@icmc.usp.br
M. DUARTE FERRARI
Affiliation:
Departamento de Matemática, CCE - Centro de Ciências Exatas, UEM - Universidade Estadual de Maringá e-mail: mdsilva@uem.br
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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 I ⊆ I[s] ⊆ ⋅⋅⋅ ⊆ I[1] such that deg(PI[k]/I) < s − k. 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.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 167 , Issue 2 , September 2019 , pp. 285 - 294
Copyright
Copyright © Cambridge Philosophical Society 2018 

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References

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