Author:
Aihara Takuma,Honma Takahiro,Miyamoto Kengo,Wang Qi
Abstract
AbstractWe discuss the finiteness of (two-term) silting objects. First, we investigate new triangulated categories without silting object. Second, we study two classes of $\tau$-tilting-finite algebras and give the numbers of their two-term silting objects. Finally, we explore when $\tau$-tilting-finiteness implies representation-finiteness and obtain several classes of algebras in which a $\tau$-tilting-finite algebra is representation-finite.
Publisher
Cambridge University Press (CUP)
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