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arXiv · 2005.05833

Reducedness of formally unramified algebras over fields

Alapan Mukhopadhyay·Karen E. Smith
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Abstract

We prove that under suitable graded and local hypothesis, a formally unramified algebra over a field must be reduced. We detail examples, including one due to Gabber, to show that it is not possible to generalize these results further.

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BibTeXRIS

Alapan Mukhopadhyay, Karen E. Smith. 2020-05-12. Reducedness of formally unramified algebras over fields. https://doi.org/10.1016/j.jalgebra.2021.03.002

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