When is the silting-discreteness inherited?
Representation Theory
2023-04-18 v1 Rings and Algebras
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.
Cite
@article{arxiv.2304.08011,
title = {When is the silting-discreteness inherited?},
author = {Takuma Aihara and Takahiro Honma},
journal= {arXiv preprint arXiv:2304.08011},
year = {2023}
}
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22 pages