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arXiv · 2304.08011

When is the silting-discreteness inherited?

Takuma Aihara·Takahiro Honma
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Abstract

We explore when the silting-discreteness is inherited. As a result, one obtains that taking idempotent truncations and homological epimorphisms of algebras transmit the silting-discreteness. We also study classification of silting-discrete simply-connected tensor algebras and silting-indiscrete selfinjective Nakayama algebras. This paper contains two appendices; one states that every derived-discrete algebra is silting-discrete, and the other is about triangulated categories whose silting objects are tilting.

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Takuma Aihara, Takahiro Honma. 2023-04-17. When is the silting-discreteness inherited?. https://arxiv.org/abs/2304.08011

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