A note on smoothness and differential bases in positive characteristic
英文摘要：
Let $u:A\to B$ be a morphism of noetherian local rings. We obtain smoothness criteria for algebras with differential bases, in the case of rings containing a field of characteristic $p>0.$ We also give smoothness criteria for reduced morphisms.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
