Dedekind's criterion for the monogenicity of a number field versus\n Uchida's and L "uneburg's

2018/09/11 by Xavier Vidaux, Vidaux, Xavier, Carlos R. Videla +1
Mathematics · #11R04 #11U05 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1809.04122

openalex publication_date 2018/09/11 · openalex created_date 2022/08/03 · openalex updated_date 2026/07/28

Abstract

We compare three different characterizations, due respectively to R.\nDedekind, K. Uchida, and H. L "uneburg, of when mathbb Z[\θ] is the ring\nof integers of mathbb Q(\θ), and apply our results to some concrete\n2-towers of number fields.\n

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