Recollements and Φ-Cohen–Macaulay Auslander–Yoneda algebras

It is shown that a [Formula: see text]-recollement of derived categories of algebras induces a [Formula: see text]-recollement of the corresponding [Formula: see text]-Cohen–Macaulay Auslander–Yoneda algebras. This result not only generalizes the main theorems of Pan [Derived equivalences for [Formula: see text]-Cohen–Macaulay Auslander–Yoneda algebras, Algebr. Represent. Theory 17 (2014) 885–903] and Pan [Derived equivalences for Cohen–Macaulay Auslander algebras, J. Pure Appl. Algebra 216 (2012) 355–363], but also provides us a useful method to construct a new recollement of derived module categories from a given one.