Relative Auslander–Reiten sequences for quasi-hereditary algebras
Copyright policy )Relative Auslander–Reiten sequences for quasi-hereditary algebras
Summary: Let \(A\) be a finite-dimensional algebra which is quasi-hereditary with respect to the poset \(({\Lambda},\leq)\), with standard modules \(\Delta(\lambda)\) for \(\lambda \in\Lambda\). Let \({\mathcal F}(\Delta)\) be the category of \(A\)-modules which have filtrations where the quotients are standard modules. We determine some inductive results on the relative Auslander-Reiten quiver of~\({\mathcal F}(\Delta)\).
Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Auslander-Reiten quivers, Representations of associative Artinian rings, categories of modules
Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Auslander-Reiten quivers, Representations of associative Artinian rings, categories of modules
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