论文标题
广义字段的非贵族表示类别
Non-Noetherian representation categories of generalized fields
论文作者
论文摘要
在本文中，我们表明，有限生成的投影$ \ mathbb {b} $ - 模块和$ \ mathbb {f} _ \ indbb {f} _ \ infty $ - 模型，具有（可拆分）注射的类别并不是本地的。这提供了一个事实，即这些广义领域具有奇怪的同源行为。
In this paper, we show that the categories of finitely generated projective $\mathbb{B}$-modules and $\mathbb{F}_\infty$-modules with morphisms being (splittable) injections are not locally Noetherian. This provides another instance of the fact that these generalized fields have strange homological behavior.
