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Relative tilting theory in extriangulated categories
Published 7 Oct 2022 in math.RT | (2210.03550v1)
Abstract: In this article, we define relative resolutions and coresolutions in extriangulated categories. By studying this relative resolutions and coresolutions, we get a generalization of the Auslander-Buchweitz approximation theory. Finally, we develop some theories of relative tilting objects in extriangulated categories.
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