Let (T',T,T'') be a recollement of triangulated categories. Two complete ideal cotorsion pairs in T' and T'' can be induced by a complete ideal cotorsion pair in T. If (I,I^⊥ ) and (J,J^⊥) are two complete ideal cotorsion pair in triangulated category, then (I,^⊥,J^⊥) is also a complete ideal cotorsion pair. In this way, a series of ideal cotorsion pairs in T can be induced by two ideal cotorsion pairs in T' and T''.
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Wang et al. (2024) studied this question.
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