dw-n-Projective model structures on chain complexes

Details dw-n-Projective model structures on chain complexes dw-n-Projective model structures on chain complexes

2012-04-05

arxiv.org/abs/1204.1358v1

Mathematics

Category Theory

25 pages

Scientific paper

In the paper "Cotorsion Pairs in C(R-Mod)", the authors construct an abelian model structure on the category of chain complexes Ch(R), where the class of cofibrant objects is given by the class of degreewise projective chain complexes. Using a generalization of a well known theorem by I. Kaplansky, we generalize the method used in that paper in order to obtain, for each integer n>1, a new abelian model structure on Ch(R), where the class of cofibrant objects is the class of chain complexes whose terms have projective dimension smaller or equal than n, provided the ring R is noetherian.

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