由具有n-或无离子cokernel的单态射表示的态射

Pub Date : 2023-01-28 DOI:10.1007/s10468-022-10192-9

Yuya Otake

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引用次数: 0

摘要

我们引入并研究了一类新的态，其中包括奥斯兰德和布里杰意义上的单态所代表的态。作为应用，我们不仅给出了加藤（Kato）关于由单态表示的态的定理的扩展，还给出了奥斯兰德（Auslander）和布里杰（Bridger）对描述无扭性和 Ext 模块等级之间关系的几个结果的共同概括。

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Morphisms represented by monomorphisms with n-torsionfree cokernel

We introduce and study a new class of morphisms which includes morphisms represented by monomorphisms in the sense of Auslander and Bridger. As an application, we give not only an extension of Kato’s theorem on morphisms represented by monomorphisms, but also a common generalization of several results due to Auslander and Bridger that describe relationships between torsionfreeness and the grades of Ext modules.

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