Given a bound quiver $(Q, I)$ and a representation $M$ of $Q$, how to get the injective envelope and projective cover of $M$? how to give the corresponding essential monomorphism and superfluous epimorphism? Is there a general or specific method?
how to get the injective envelope and projective cover of a given module
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abstract-algebra
representation-theory
quiver
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0See my second answer to this question http://math.stackexchange.com/questions/142180/the-ext-functor-in-the-quiver-representation/165077#comment391329_165077 – 2012-11-13