A second note on homological systems

Abstract

Let $\left(\Delta ;\Omega ,\le \right)$ be a b-homological system and $\tilde{\mathcal{F}}\left(\Delta \right)$ the category of the extended $\Delta -$filtered modules. Here there is a proof that $\tilde{\mathcal{F}}\left(\Delta \right)$ is closed under direct summands.