论文标题
来自RING计划的运营商
Operators coming from ring schemes
论文作者
论文摘要
我们介绍了坐标$ \ mathbf {k} $ - 代数方案的概念和$ \ Mathcal {B} $ - 运算符的相应概念。这类运算符包括Frobenius地图的内态和派生，它还概括了与$ \ Mathcal {d} $ - 来自[15]的运算符。我们将（坐标）$ \ mathbf {k} $ - 代数方案为完美字段$ \ mathbf {k} $进行分类，我们还讨论了具有$ \ mathcal {b} $运算符的字段的模型理论属性。
We introduce the notion of a coordinate $\mathbf{k}$-algebra scheme and the corresponding notion of a $\mathcal{B}$-operator. This class of operators includes endomorphisms and derivations of the Frobenius map, and it also generalizes the operators related to $\mathcal{D}$-rings from [15]. We classify the (coordinate) $\mathbf{k}$-algebra schemes for a perfect field $\mathbf{k}$ and we also discuss the model-theoretic properties of fields with $\mathcal{B}$-operators.
