查看文章

The foundations of Ringel duality for split quasi-hereditary algebras over commutative Noetherian rings are strengthened. Several descriptions and properties of the smallest resolving subcategory containing all standard modules over split quasi-hereditary algebras over commutative Noetherian rings are provided. In particular, given two split quasi-hereditary algebras and , we prove that any exact equivalence between the smallest resolving subcategory containing all standard modules over and the smallest resolving subcategory containing all standard modules over lifts to a Morita equivalence between and which preserves the quasi-hereditary structure.