Xiaoyan Yang

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math.CT2026

Flat and Ghost dimensions in tensor triangulated categories with a compact tilting generator

Xiaoyan Yang

Let $T$ be a tensor triangulated category with a compact tilting generator $M$ and abelian heart $H_{M} = M^{⊥_{\neq = 0}}$ . We define a triangulated flat dimensi…

math.CT2026

Finitistic dimensions in triangulated categories with a compact silting generator

Xiaoyan Yang

This paper studies finitistic dimensions in triangulated categories with a compact silting generator. We unify several notions of (big) finitistic dimension appearing in the litera…