Fall 2022 On value sets of fractional ideals
Edison M. N. Guzmán, Abramo Hefez
J. Commut. Algebra 14(3): 339-349 (Fall 2022). DOI: 10.1216/jca.2022.14.339


Our aim is to study duality of fractional ideals with respect to a fixed ideal and to investigate the relationship between value sets of pairs of dual ideals in admissible rings, a class of rings that contains the local rings of algebraic curves at singular points. We characterize canonical ideals by means of a symmetry relation between lengths of certain quotients of associated ideals to a pair of dual ideals. In particular, we extend the symmetry among absolute and relative maximals in the sets of values of pairs of dual fractional ideals to other kinds of maximal points. Our results generalize and complement previous ones by other authors.


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Edison M. N. Guzmán. Abramo Hefez. "On value sets of fractional ideals." J. Commut. Algebra 14 (3) 339 - 349, Fall 2022. https://doi.org/10.1216/jca.2022.14.339


Received: 25 November 2019; Revised: 20 October 2020; Accepted: 28 October 2020; Published: Fall 2022
First available in Project Euclid: 7 October 2022

MathSciNet: MR4492995
Digital Object Identifier: 10.1216/jca.2022.14.339

Primary: 13H10 , 14H20

Keywords: admissible rings , duality of fractional ideals , singular points of curves , value sets of fractional ideals

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium


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Vol.14 • No. 3 • Fall 2022
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