Abstract

Let \(\Lambda \) be an Artin algebra and \(\mathcal {C}\) a full subcategory of \(\Lambda \)-mod closed under direct summands and closed under extensions. It is known that if \(\mathcal {C}\) is functorially finite, then it has almost split sequences. Here we review an example of a covariantly finite subcategory that has right almost split morphisms except for one isomorphism class, and we compute its almost split sequences.

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