English

A note ON MONOGENEITY of pure number fields

Number Theory 2021-06-02 v1 Rings and Algebras

Abstract

Gassert's paper "A NOTE ON THE MONOGENEITY OF POWER MAPS" is cited at least by 1717 papers in the context of monogeneity of pure number fields despite some errors that it contains and remarks on it. In this note, we point out some of these errors, and make some improvements on it.

Cite

@article{arxiv.2106.00004,
  title  = {A note ON MONOGENEITY of pure number fields},
  author = {Lhoussain El Fadil},
  journal= {arXiv preprint arXiv:2106.00004},
  year   = {2021}
}

Comments

15 pages, 1 figure. arXiv admin note: text overlap with arXiv:2006.11230

R2 v1 2026-06-24T02:40:33.257Z