（协同）动作和局部化的兼容性
Compatibility of (co)actions and localizations
摘要：
早些时候，伦茨和罗森伯格研究了内函子与局部化函子相容性的概念，并将其应用于非交换环和概型上的微分算子的研究。另一个兼容性-Ore本地化的代数与comomoalgebra代数结构超过一个给定的bialgebra -介绍了在我以前的工作-在这里也描述了范畴语言，但适当的概念不同的伦茨和罗森伯格，它涉及到一种特定的分配法。关于相容局部化的一些基本事实可以从将幺半范畴的余单子或甚至作用关联到余代数的更一般的函性性质中得到。我们还介绍了本地化兼容对缠绕结构。
英文摘要：
Earlier, Lunts and Rosenberg studied a notion of compatibility of endofunctors with localization functors, with an application to the study of differential operators on noncommutative rings and schemes. Another compatibility -- of Ore localizations of an algebra with a comodule algebra structure over a given bialgebra -- introduced in my earlier work -- is here described also in categorical language, but the appropriate notion differs from that of Lunts and Rosenberg, and it involves a specific kind of distributive laws. Some basic facts about compatible localization follow from more general functoriality properties of associating comonads or even actions of monoidal categories to comodule algebras. We also introduce localization compatible pairs of entwining structures.
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