English

A locally F-finite Noetherian domain that is not F-finite

Commutative Algebra 2022-07-21 v3

Abstract

Using an old example of Nagata, we construct a Noetherian ring of prime characteristic p, whose Frobenius morphism is locally finite, but not finite.

Keywords

Cite

@article{arxiv.2006.06043,
  title  = {A locally F-finite Noetherian domain that is not F-finite},
  author = {Tiberiu Dumitrescu and Cristodor Ionescu},
  journal= {arXiv preprint arXiv:2006.06043},
  year   = {2022}
}

Comments

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