The functor l preserves and reflects (Wakamatsu) tilting pairs of subcategories in cleft extensions of abelian categories, with applications giving characterizations over θ-extensions and tensor rings.
Beligiannis, Cleft extensions of abelian categories and applications to ring theory,Comm
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Tilting pairs and Wakamatsu tilting pairs of subcategories over cleft extensions
The functor l preserves and reflects (Wakamatsu) tilting pairs of subcategories in cleft extensions of abelian categories, with applications giving characterizations over θ-extensions and tensor rings.