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Factorization of adjacent complete ideals in dimension 2

Published online by Cambridge University Press:  18 September 2007

Jesús Fernández-Sánchez
Jesús Fernández-Sánchez
Affiliation:
Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, Av. Diagonal 647, 08028 Barcelona, Spain ([email protected])
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Abstract

Given a regular two-dimensional local ring $(R,\mathfrak{m}_R)$ and a complete $\mathfrak{m}_{R}$-primary ideal $I\subset R$, we describe the (Zariski) factorization of the complete $\mathfrak{m}_{R}$-primary ideals $J\subset I$ of codimension $1$ in terms of the factorization of $I$.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 137 , Issue 5 , October 2007 , pp. 913 - 921
Copyright
2007 Royal Society of Edinburgh

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