Recollements of abelian categories and ideals in heredity chains - a recursive approach to quasi-hereditary algebras
classification
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keywords
algebrasquasi-hereditaryabelianapproachcategorieschainsheredityhomological
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Recollements of abelian categories are used as a basis of a homological and recursive approach to quasi-hereditary algebras. This yields a homological proof of Dlab and Ringel's characterisation of idempotent ideals occuring in heredity chains, which in turn characterises quasi-hereditary algebras recursively. Further applications are given to hereditary algebras and to Morita context rings.
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