Modules with finite reducing invariants w.r.t. P satisfy P, for P being the Auslander condition, generalized Auslander-Reiten conjecture, or total reflexivity dependence.
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Homological properties and finiteness of reducing invariants
Modules with finite reducing invariants w.r.t. P satisfy P, for P being the Auslander condition, generalized Auslander-Reiten conjecture, or total reflexivity dependence.