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Finite dimensional algebras and cellular systems

Jie Du
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Abstract

We introduce the notion of a cellular system in order to deal with quasi-hereditary algebras. We shall prove that a necessary and sufficient condition for an algebra to be quasi-hereditary is the existence of a full divisible cellular system. As a further application, we prove that the existence of a full local cellular system is a sufficient condition for a standardly stratified algebra.

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BibTeXRIS

Jie Du. 1999-12-08. Finite dimensional algebras and cellular systems. https://arxiv.org/abs/math/9912061

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