Differential projective modules over algebras with radical square zero
Abstract
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.
 Publication:

arXiv eprints
 Pub Date:
 March 2018
 arXiv:
 arXiv:1804.00169
 Bibcode:
 2018arXiv180400169S
 Keywords:

 Mathematics  Representation Theory;
 Mathematics  Rings and Algebras;
 Primary 16G10;
 Secondary 16G50;
 18G25
 EPrint:
 Comments are welcome