On the colength of fractional ideals

E. M.N. de Guzmán; A. Hefez

doi:10.5427/jsing.2020.21g

On the colength of fractional ideals

E. M.N. de Guzmán
, A. Hefez

Research output: Contribution to journal › Original Article › peer-review

4 Scopus citations

Abstract

The main goal of this paper is to give a recursive formula for the colength of a fractional ideal in terms of some maximal points of its value set and of its projections. The fractional ideals are relative to a class of rings called admissible, a more general class of one dimensional local rings that contains those of algebroid curves. For fractional ideals of such rings with two or three minimal primes, a closed formula for the colength is provided.

Original language	American English
Pages (from-to)	119-131
Number of pages	13
Journal	Journal of Singularities
Volume	21
DOIs	https://doi.org/10.5427/jsing.2020.21g
State	Indexed - 2020
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2020, Worldwide Center of Mathematics. All rights reserved.

Keywords

Admissible rings
Algebroid curves
Colengtof ideals
Fractional ideals
Value sets of ideals

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10.5427/jsing.2020.21g

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AU - Hefez, A.

PY - 2020

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N2 - The main goal of this paper is to give a recursive formula for the colength of a fractional ideal in terms of some maximal points of its value set and of its projections. The fractional ideals are relative to a class of rings called admissible, a more general class of one dimensional local rings that contains those of algebroid curves. For fractional ideals of such rings with two or three minimal primes, a closed formula for the colength is provided.

AB - The main goal of this paper is to give a recursive formula for the colength of a fractional ideal in terms of some maximal points of its value set and of its projections. The fractional ideals are relative to a class of rings called admissible, a more general class of one dimensional local rings that contains those of algebroid curves. For fractional ideals of such rings with two or three minimal primes, a closed formula for the colength is provided.

KW - Admissible rings

KW - Algebroid curves

KW - Colengtof ideals

KW - Fractional ideals

KW - Value sets of ideals

UR - https://www.scopus.com/pages/publications/85081648139

U2 - 10.5427/jsing.2020.21g

DO - 10.5427/jsing.2020.21g

M3 - Original Article

AN - SCOPUS:85081648139

SN - 1949-2006

VL - 21

SP - 119

EP - 131

JO - Journal of Singularities

JF - Journal of Singularities

ER -

On the colength of fractional ideals

Abstract

Bibliographical note

Keywords

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Cite this