Recollements of abelian categories and ideals in heredity chains—a recursive approach to quasi-hereditary algebras
Copyright policy )Recollements of abelian categories and ideals in heredity chains—a recursive approach to quasi-hereditary algebras
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 occurring in heredity chains, which in turn characterises quasi-hereditary algebras recursively. Further applications are given to hereditary algebras and to Morita context rings.
- Shanghai University China (People's Republic of)
- Shanghai University China (People's Republic of)
- University of Stuttgart Germany
- Aristotle University of Thessaloniki Greece
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Morita context rings, Ext and Tor, generalizations, Künneth formula (category-theoretic aspects), recollement, Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc., FOS: Mathematics, heredity chains, Representation Theory (math.RT), Mathematics - Representation Theory, Representations of associative Artinian rings
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Morita context rings, Ext and Tor, generalizations, Künneth formula (category-theoretic aspects), recollement, Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc., FOS: Mathematics, heredity chains, Representation Theory (math.RT), Mathematics - Representation Theory, Representations of associative Artinian rings
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