Abstract
It is known that for a ring R every left R-module has an injective cover if and only if R is left Noetherian. For a quiver Q and a ring R it is also known that the category (Q, R − Mod) of representations of Q by left R-modules is such that every object has an injective cover if R is Noetherian and Q is a Noetherian quiver. In this article, we will initiate a study of these injective covers by describing them for the line quivers A n and A ∞ +.
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