精确的子类别、子函子和一些应用程序

IF 0.8 2区数学 Q2 MATHEMATICS

Nagoya Mathematical Journal Pub Date : 2023-09-27 DOI:10.1017/nmj.2023.29

HAILONG DAO, SOUVIK DEY, MONALISA DUTTA

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引用次数: 2

摘要

摘要设$({\cal{A}}，{\cal{E}})$是一个精确范畴。利用数值函数的可加性和对子范畴的限制，建立了可以识别${\operatorname{Ext}}_{\cal{E}}(-，-)$的子(bi)函子的基本结果。我们还详细研究了交换局部环上的少量这些新函子，并发现了从检测正则性到理解Ulrich模的一系列应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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EXACT SUBCATEGORIES, SUBFUNCTORS OF , AND SOME APPLICATIONS

Abstract Let $({\cal{A}},{\cal{E}})$ be an exact category. We establish basic results that allow one to identify sub(bi)functors of ${\operatorname{Ext}}_{\cal{E}}(-,-)$ using additivity of numerical functions and restriction to subcategories. We also study a small number of these new functors over commutative local rings in detail and find a range of applications from detecting regularity to understanding Ulrich modules.

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来源期刊

Nagoya Mathematical Journal 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Nagoya Mathematical Journal is published quarterly. Since its formation in 1950 by a group led by Tadashi Nakayama, the journal has endeavoured to publish original research papers of the highest quality and of general interest, covering a broad range of pure mathematics. The journal is owned by Foundation Nagoya Mathematical Journal, which uses the proceeds from the journal to support mathematics worldwide.