The generalized Auslander-Reiten duality on a module category. (English) Zbl 1509.16018
Summary: We characterize the generalized Auslander-Reiten duality on the category of finitely presented modules over some certain Hom-finite category. Examples include the category FI of finite sets with injections, and the one VI of finite-dimensional vector spaces with linear injections over a finite field.
MSC:
| 16G70 | Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers |
| 16D90 | Module categories in associative algebras |
References:
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