论文标题

田地上正式未受到的代数的降低

Reducedness of formally unramified algebras over fields

论文作者

Mukhopadhyay, Alapan, Smith, Karen E.

论文摘要

我们证明,在适当的分级和局部假设下,必须降低磁场上正式未受到的代数。我们详细介绍了示例,包括由于Gabber的原因,表明不可能进一步概括这些结果。

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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