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- W2266936188 abstract "Let (X, Y) be a balanced pair in an abelian category. We first introduce the notion of cotorsion pairs relative to (X, Y), and then give some equivalent characterizations when a relative cotorsion pair is hereditary or perfect. We prove that if the X-resolution dimension of Y (resp. Y-coresolution dimension of X) is finite, then the bounded homotopy category of Y (resp. X) is contained in that of X (resp. Y). As a consequence, we get that the right X-singularity category coincides with the left Y-singularity category if the X-resolution dimension of Y and the Y-coresolution dimension of X are finite." @default.
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- W2266936188 date "2015-11-25" @default.
- W2266936188 modified "2023-10-16" @default.
- W2266936188 title "Applications of balanced pairs" @default.
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- W2266936188 doi "https://doi.org/10.1007/s11425-015-5094-1" @default.
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