Abstract Let be an alternative algebra with maximal ideal which is complete and separated for the -adic topology. Assuming that is a perfect field of positive characteristic and that the associated graded algebra is a k-algebra, we show that the reduction map from the Witt ring lifts canonically to a morphism thereby giving A the structure of a unital -algebra.

中文翻译：

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关于完全替代局部代数的结构的注释

摘要 设一个具有极大理想的替代代数，该代数对于-adic 拓扑是完备的和分离的。假设这是一个完美的正特征域，并且相关的分级代数是一个 k-代数，我们表明从 Witt 环的约简映射规范地提升到态射，从而给 A 一个单位代数的结构。