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arXiv · 1804.04282

Projective objects in the category of pointwise finite dimensional representations of an interval finite quiver

Pengjie Jiao
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Abstract

For an interval finite quiver $Q$, we introduce a class of flat representations. We classify the indecomposable projective objects in the category $\mathrm{rep}(Q)$ of pointwise finite dimensional representations. We show that an object in $\mathrm{rep}(Q)$ is projective if and only if it is a direct sum of countably generated flat representations.

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BibTeXRIS

Pengjie Jiao. 2019-10-22. Projective objects in the category of pointwise finite dimensional representations of an interval finite quiver. https://doi.org/10.1515/forum-2018-0196

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