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Minimal injective resolutions and Auslander-Gorenstein property for path algebras

Minimal injective resolutions and Auslander-Gorenstein property for path algebras

Let R be a ring and 𝒬 be a finite and acyclic quiver. We present an explicit formula for the injective envelopes and projective precovers in the category Rep(𝒬,R) of representations of 𝒬 by left R-modules. We also extend our formula to all terms of the minimal injective resolution of …