外三角化范畴的理想逼近理论

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-09-16 DOI:10.1016/j.jalgebra.2025.08.035

R.R. Xu , X.H. Fu , B.J. Gao , M.Y. Sun

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引用次数: 0

摘要

本文在外三角化范畴中引入了理想逼近理论。为此，引入了Salce引理、Christensen引理和Wakamatsu引理，并在外三角化范畴中进行了证明。并证明了特殊预覆盖（分别，特殊预包络）理想的有限交仍然是特殊预覆盖（分别，特殊预包络）。本文的结果表明，外三角化范畴是发展理想逼近理论的适当背景。

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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Ideal approximation theory in extriangulated categories

In the present article, ideal approximation theory is introduced in extriangulated categories. To this end, Salce's Lemma, Christensen's Lemma, and Wakamatsu's Lemma are introduced and proved in an extriangulated category. It is also shown that a finite intersection of special precovering (respectively, special preenveloping) ideals remains special precovering (respectively, special preenveloping). The results in this article show that extriangulated categories are the appropriate context for developing ideal approximation theory.

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来源期刊

Journal of Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.