# Differential Projective Modules Over Algebras with Radical Square Zero

@article{Shen2021DifferentialPM, title={Differential Projective Modules Over Algebras with Radical Square Zero}, author={Dawei Shen}, journal={Algebras and Representation Theory}, year={2021} }

Let $Q$ be a finite quiver and $\Lambda$ be the radical square zero algebra of $Q$ over a field. We give a full and dense functor from the category of reduced differential projective modules over $\Lambda$ to the category of representations of the opposite of $Q$. If moreover $Q$ has oriented cycles and $Q$ is not a basic cycle, we prove that the algebra of dual numbers over $\Lambda$ is not virtually Gorenstein.

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