Reducedness of formally unramified algebras over fields
arXiv:2005.05833 · doi:10.1016/j.jalgebra.2021.03.002
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.
8 pages; comments are welcome