Geodesic
On the Colength of Fractional Ideals
Journal of Singularities, Tome 21 (2020), pp. 119-131

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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.
DOI : 10.5427/jsing.2020.21g
Classification : 13H10, 14H20 
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     author = {E. M. N. de Guzm\'an and A. Hefez},
     title = {On the {Colength} of {Fractional} {Ideals}},
     journal = {Journal of Singularities},
     pages = {119--131},
     publisher = {mathdoc},
     volume = {21},
     year = {2020},
     doi = {10.5427/jsing.2020.21g},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2020.21g/}
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E. M. N. de Guzmán; A. Hefez. On the Colength of Fractional Ideals. Journal of Singularities, Tome 21 (2020), pp. 119-131. doi: 10.5427/jsing.2020.21g

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