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math.CT2026
Higher orthogonality and truncation in canonical pretriangulated quotients
Yixia Zhang, Panyue Zhou
Canonical ideal quotients of extriangulated categories admit natural one-sided triangulated or pretriangulated structures. A fundamental question is whether these quotient structur…
math.RT2026
Ideal -cotorsion pairs in Frobenius extriangulated categories
Yixia Zhang, Panyue Zhou
Motivated by the correspondence between ideal cotorsion pairs in Frobenius exact categories and those in their stable categories, we introduce the notion of an ideal -cotorsion…