C\mathcal{C}-filtered modules and proper costratifying systems

preprint2011arXivOpen access

Abstract

In this paper we define and study the notion of a proper costratifying system, which is a generalization of the so-called proper costandard modules to the context of stratifying systems. The proper costandard modules were defined by V. Dlab in his study of quasi-hereditary algebras (see \cite{Dlab}).

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