Differential projective modules over algebras with radical square zero

DOI10.1007/S10468-021-10106-1arXiv1804.00169MaRDI QIDQ6299807

Dawei Shen

Publication date: 31 March 2018

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.

Mathematics Subject Classification ID

Cohen-Macaulay modules in associative algebras (16G50) Representations of associative Artinian rings (16G10) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

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