Silting objects under special base changes

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-01-23 DOI:10.1016/j.jalgebra.2024.12.038

Rongmin Zhu , Jiaqun Wei , Zhenxing Di

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引用次数: 0

Abstract

Let A be a ring. In this paper we study the behavior of silting objects in derived categories of module categories under special base changes with respect to the rings

A_{x}

and

A / x A

, where x is a regular element in A. We prove that any silting object in

D (A)

gives rise to silting objects in

D (A_{x})

and

D (A / x A)

after localization and passing to quotient, respectively. On the other hand, it is proved that under some mild conditions, an object in

D (A)

is silting if its corresponding localization and quotient are silting in

D (A_{x})

and

D (A / x A)

, respectively.

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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.