1 citations · 3 across the 16 of their papers we have counts for
Showing 2026Show all
3 papers · 1 filter
math.RT2026
A negative answer to a question on tilting objects and two-term complexes
Jing He, Panyue Zhou
Let be a silting object in an idempotent complete algebraic triangulated category . Put , 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--angulated category which is not -angulated
Jian He, Jing He, Panyue Zhou
We construct an explicit pre--angulated category which is not -angulated, thereby giving a genuinely higher counterexample to the implication from pre--angulated to $(…