论文标题
确切的子类别，$ \ operatoTorname {ext} $的子结构器以及某些应用程序
Exact subcategories, subfunctors of $\operatorname{Ext}$, and some applications
论文作者
论文摘要
令$（\ Mathcal {a}，\ Mathcal {e}）$为确切的类别。我们建立了基本结果，允许一个人使用数值函数的添加性和对子类别的限制，可以识别$ \ operatotorname {ext} _ {\ Mathcal {e}}}（ - ， - ）$的sub（bi）函数。我们还在细节上研究了少数这些新功能的本地环，并找到一系列从检测规律性到了解Ulrich模块的应用。
Let $(\mathcal{A},\mathcal{E})$ be an exact category. We establish basic results that allow one to identify sub(bi)functors of $\operatorname{Ext}_{\mathcal{E}}(-,-)$ using additivity of numerical functions and restriction to subcategories. We also study a small number of these new functors over commutative local rings in details, and find a range of applications from detecting regularity to understanding Ulrich modules.
