标题： 非交换基变换的纠缠反模和纠缠余模范畴的伽罗瓦测量 显示英文标题

标题： Galois measurings for noncommutative base change of entwined contramodule and entwined comodule categories

摘要： 我们研究通过格罗滕迪克范畴$\mathfrak S$对一个纠缠结构$(A,C,\psi)$的非交换基变换，使用两个类似模的范畴。 这些是纠缠余模对象和纠缠反模对象在$\mathfrak S$上的范畴，相对于纠缠结构$(A,C,\psi)$。 我们考虑由纠缠结构之间的广义映射，即度量，所引起的这些非交换空间之间的映射的条件，使其表现得像伽罗瓦扩张。 我们还研究这些非交换空间的扩展条件，理解为类似模的范畴之间的函子，具有可分性、弗罗贝尼乌斯或马施克类型性质。 显示英文摘要

摘要： We study the noncommutative base change of an entwining structure $(A,C,\psi)$ by a Grothendieck category $\mathfrak S$, using two module like categories. These are the categories of entwined comodule objects and entwined contramodule objects in $\mathfrak S$ over the entwining structure $(A,C,\psi)$. We consider criteria for maps between these noncommutative spaces, induced by generalized maps between entwining structures, known as measurings, to behave like Galois extensions. We also study conditions for extensions of these noncommutative spaces, understood as functors between module like categories, to have separability, Frobenius or Maschke type properties.