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Triangular bases of integral closures / Duncan Stainsby, Hayden ; Montes, Jesús, dir. ; Nart, Enric, dir. ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
En aquest treball, considerem el problema de computar bases triangulars de clausures enteres d'anells locals unidimensionals. Es presenta "MaxMin", un algoritme eficient que empra representacions OM d'ideals primers per computar bases locals d'ideals fraccionaris de cossos de nombres i cossos de funcions. [...]
En este trabajo, consideramos el problema de computar bases triangulares de clausuras enteras de anillos locales unidimensionales. Se presenta "MaxMin", un algoritmo eficiente que emplea representaciones OM de ideales primos para computar bases locales de ideales fraccionarios de cuerpos de números y cuerpos de funciones. [...]
In this work, we consider the problem of computing triangular bases of integral closures of one-dimensional local rings. "MaxMin" is presented, an efficient algorithm which employs OM representations of prime ideals to compute local bases of fractional ideals of number fields and function fields. [...]
[Barcelona] : Universitat Autònoma de Barcelona, 2015

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