可加情形下的广义Lax满态
Generalized lax epimorphisms in the additive case
摘要：
在本文中，我们称广义宽松满态函子定义在一个环上的几个对象，在一个阿贝尔AB5范畴的值，其中相关的限制函子是完全忠实的。我们的特点是这样一个函子的帮助下，有条件的权利取消另一个，从最初的一个典型的方式构建。作为结果，我们推导出的函子诱导阿贝尔本地化的一个特征，也是一个充要条件的态射环与几个对象，以诱导等价的两个本地化的水平上的相应的模块类别。
英文摘要：
In this paper we call generalized lax epimorphism a functor defined on a ring with several objects, with values in an abelian AB5 category, for which the associated restriction functor is fully faithful. We characterize such a functor with the help of a conditioned right cancellation of another, constructed in a canonical way from the initial one. As consequences we deduce a characterization of functors inducing an abelian localization and also a necessary and sufficient condition for a morphism of rings with several objects to induce an equivalence at the level of two localizations of the respective module categories.
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。
