Differential Projective Modules Over Algebras with Radical Square Zero

  title={Differential Projective Modules Over Algebras with Radical Square Zero},
  author={Dawei Shen},
  journal={Algebras and Representation Theory},
  • Dawei Shen
  • Published 31 March 2018
  • Mathematics
  • Algebras and Representation Theory
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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