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Abstract We give an intrinsic characterization of the closure under shifts {A} A ^ of a given strictly unital A_ A ∞ -category { {A}} A. We study some arithmetical properties of its higher operations and special conflations in the precategory of cocycles { {Z}} ({ {A}}) Z (A) of its A_ A ∞ -category of twisted modules. We exhibit a structure for { {Z}} ({A}) Z (A ^) similar to a special Frobenius category. We derive that the cohomology category H ({A}) H (A ^) appears as the corresponding stable category and then we review how this implies that { {H}} (A) H (A ^) is a triangulated category.
Bautista et al. (Tue,) studied this question.