The magnitude of a module category equals the Euler characteristic of its Auslander–Reiten quiver; for biserial algebras it equals the rank, and for hereditary type A_n it equals n.
Representation theory of artin algebras
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Magnitude of module categories
The magnitude of a module category equals the Euler characteristic of its Auslander–Reiten quiver; for biserial algebras it equals the rank, and for hereditary type A_n it equals n.