加性精确范畴中的Ziegler偏态射

IF 1.1 2区数学 Q1 MATHEMATICS

Bulletin of Mathematical Sciences Pub Date : 2020-03-09 DOI:10.1142/s1664360720500125

Manuel Cortés-Izurdiaga, P. A. G. Asensio, Berke Kalebog̃az, A. K. Srivastava

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引用次数: 4

摘要

本文建立了可加精确范畴中偏态射的一般理论，推广了Ziegler在环上模范畴中纯精确序列的模型论概念。我们将部分态射与(共)幻态射和注入近似联系起来，并研究了这类近似在这些精确范畴中的存在性。

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Ziegler partial morphisms in additive exact categories

We develop a general theory of partial morphisms in additive exact categories which extends the model theoretic notion introduced by Ziegler in the particular case of pure-exact sequences in the category of modules over a ring. We relate partial morphisms with (co-)phantom morphisms and injective approximations and study the existence of such approximations in these exact categories.

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来源期刊

Bulletin of Mathematical Sciences MATHEMATICS-

CiteScore

2.10

自引率

0.00%

发文量

审稿时长

13 weeks

期刊介绍： The Bulletin of Mathematical Sciences, a peer-reviewed, open access journal, will publish original research work of highest quality and of broad interest in all branches of mathematical sciences. The Bulletin will publish well-written expository articles (40-50 pages) of exceptional value giving the latest state of the art on a specific topic, and short articles (up to 15 pages) containing significant results of wider interest. Most of the expository articles will be invited. The Bulletin of Mathematical Sciences is launched by King Abdulaziz University, Jeddah, Saudi Arabia.