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MODEL STRUCTURES ON TRIANGULATED CATEGORIES
Published online by Cambridge University Press: 18 December 2014
Abstract
We define model structures on a triangulated category with respect to some proper classes of triangles and give a general study of triangulated model structures. We look at the relationship between these model structures and cotorsion pairs with respect to a proper class of triangles on the triangulated category. In particular, we get Hovey's one-to-one correspondence between triangulated model structures and complete cotorsion pairs with respect to a proper class of triangles. Some applications are given.
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- Research Article
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- Copyright © Glasgow Mathematical Journal Trust 2014
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