n-cotorsion pairs in a recollement of extriangulated categories

Key Points

• An $n$-cotorsion pair in $B$ can be obtained from $n$-cotorsion pairs in $A$ and $C$.
• The paper establishes that $n$-cotorsion pairs can induce others in related categories under suitable conditions.
• Applications of this work include several results that illustrate the construction of $n$-cotorsion pairs.
• The framework extends understanding of morphisms between extriangulated categories.