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arXiv · 1804.08848

Recollements of abelian categories and ideals in heredity chains - a recursive approach to quasi-hereditary algebras

Nan Gao·Steffen Koenig·Chrysostomos Psaroudakis
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Abstract

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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Nan Gao, Steffen Koenig, Chrysostomos Psaroudakis. 2018-04-24. Recollements of abelian categories and ideals in heredity chains - a recursive approach to quasi-hereditary algebras. https://arxiv.org/abs/1804.08848

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