Panyue Zhou

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20212026

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math.RT2026

A negative answer to a question on tilting objects and two-term complexes

Jing He, Panyue Zhou

Let $M$ be a silting object in an idempotent complete algebraic triangulated category $T$ . Put $B = End_{T} (M)$ , and let $\mathbb{P}_M\colon {\rm pr}(M)\to K^…

math.RT2026

A right pretriangulated category which is not right triangulated

Jing He, Panyue Zhou

Chen, Liu, Lu, and Zhang recently constructed a pretriangulated category with invertible suspension in which Verdier's octahedral axiom fails. We introduce a general enlargement co…

math.RT2026

A pre- $(n + 2)$ -angulated category which is not $(n + 2)$ -angulated

Jian He, Jing He, Panyue Zhou

We construct an explicit pre- $9$ -angulated category which is not $9$ -angulated, thereby giving a genuinely higher counterexample to the implication from pre- $(n + 2)$ -angulated to $(…

math.RT2024

Higher Auslander-Reiten sequences revisited

Jian He, Hangyu Yin, Panyue Zhou

Let $(C, E, s)$ be an $n$ -exangulated category with enough projectives and enough injectives, and $X$ be a cluster-tilting subcategory of $\ma…

math.RT2021

From right (n+2)-angulated categories to n-exangulated categories

Jian He, Panyue Zhou

The notion of right semi-equivalence in a right $(n + 2)$ -angulated category is defined in this article. Let $C$ be an $n$ -exangulated category and $X$ is a strongl…

A negative answer to a question on tilting objects and two-term complexes

A right pretriangulated category which is not right triangulated

A pre-(n+2)-angulated category which is not (n+2)-angulated

Higher Auslander-Reiten sequences revisited

From right (n+2)-angulated categories to n-exangulated categories

A pre- $(n + 2)$ -angulated category which is not $(n + 2)$ -angulated