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For questions on algebras with an associative product.
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Differences between primitive central idempotents and primitive orthogonal idempotents
If we have a complete set of primitive orthogonal idempotents of an algebra $A$, then we can obtain simple modules, indecomposable projective modules, indecomposable injective modules of $A$.
If we o …
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Non-rigid modules and Auslander-Reiten quiver
I have a question about proving that a module is non-rigid using Auslander-Reiten quiver. Suppose that we have some algebra $A$ and the components of its Auslander-Reiten quivers are tubes like the fo …