We apply previous techniques on infinite quivers to describe projective and injective modules over a monomial algebra Lambda= RQ/I (where R is any arbitrary ring with identity). Then we consider the case Q = A(infinity)(infinity) 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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