Work

Silting, cosilting and extensions of commutative rings

Year: 2025

Type: article

Abstract: We study the transfer of (co)silting objects in derived categories of module categories via the extension functors induced by a morphism of commutative rings. It is proved that the extension functors preserve (co)silting objects of (co)finite type. In many cases the bounded silting property descends along faithfully flat ring extensions. In particular, the notion of bounded silting complex is Zariski local.

Source: Mathematical Proceedings of the Cambridge Philosophical Society

DOI: 10.1017/s0305004125101503

Authors: SIMION BREAZ, MICHAL HRBEK, GEORGE CIPRIAN MODOI

Institutions: Babeș-Bolyai University, Czech Academy of Sciences, Institute of Mathematics

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funders: Ministerul Cercetării, Inovării şi Digitalizării, Grantová Agentura České Republiky, Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii, Colegiul Consultativ pentru Cercetare-Dezvoltare şi Inovare