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Canonical bases of modules over one dimensional k-algebras

Abstract : Let K be a field and denote by K[t], the polynomial ring with coefficients in K. Set A = K[f1,. .. , fs], with f1,. .. , fs ∈ K[t]. We give a procedure to calculate the monoid of degrees of the K algebra M = F1A + · · · + FrA with F1,. .. , Fr ∈ K[t]. We show some applications to the problem of the classification of plane polynomial curves (that is, plane algebraic curves parametrized by polynomials) with respect to some oh their invariants, using the module of Kähler differentials.
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https://hal.archives-ouvertes.fr/hal-01485009
Contributor : Abdallah Assi <>
Submitted on : Thursday, March 9, 2017 - 12:43:38 PM
Last modification on : Monday, March 9, 2020 - 6:15:55 PM
Document(s) archivé(s) le : Saturday, June 10, 2017 - 1:54:07 PM

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generators-ideals.pdf
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  • HAL Id : hal-01485009, version 2
  • ARXIV : 1703.02825

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A Abbas, A Assi, Pedro A Garcı́a-Sánchez. Canonical bases of modules over one dimensional k-algebras. 2017. ⟨hal-01485009v2⟩

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