Reducedness of formally unramified algebras over fields
Commutative Algebra
2022-01-11 v1 Algebraic Geometry
Number Theory
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.
Keywords
Cite
@article{arxiv.2005.05833,
title = {Reducedness of formally unramified algebras over fields},
author = {Alapan Mukhopadhyay and Karen E. Smith},
journal= {arXiv preprint arXiv:2005.05833},
year = {2022}
}
Comments
8 pages; comments are welcome