论文标题
较高同源代数的cotorsion类
Cotorsion Classes in Higher Homological Algebra
论文作者
论文摘要
在本说明中,将cotorsion类的概念引入了较高的同源代数中。我们的结果激发了定义,表明$ n $ cotorsion类的概念满足了人们可以期望的常规属性。特别是,证明了Wakamatsu的引理的更高版本。还研究了与广泛子类别的连接。
In this note, the notion of cotorsion classes is introduced into the higher homological algebra. Our results motivate the definition, showing that this notion of $n$-cotorsion classes satisfies usual properties one could expect. In particular, a higher version of Wakamatsu's Lemma is proved. Connections with wide subcategories are also studied.