Abstract
We apply previous techniques on infinite quivers to describe projective and injective modules over a monomial algebra Λ = RQ/I (where R is any arbitrary ring with identity). Then we consider the case and I is generated by paths of length N ≥ 2, so we get the category of so-called “N-complexes of R-modules”. For this category we will prove that if R has finite Gorenstein global dimension, then it is a Gorenstein category.
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ACKNOWLEDGMENTS
The author is partially supported by the DGI MTM2005-0322. Estrada's research was supported by a MEC/Fulbright grant from the Spanish Secretaría de Estado de Universidades e Investigación del Ministerio de Educación y Ciencia.