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arxiv: math/0609313 · v1 · submitted 2006-09-11 · 🧮 math.AC

Compactly generated homotopy categories

classification 🧮 math.AC
keywords compactlygeneratedhomotopymathbbassociativecategoriescategoryclass
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Over an associative ring we consider a class $\mathbb{X}$ of left modules which is closed under set-indexed coproducts and direct summands. We investigate when the triangulated homotopy category $\mathsf{K}(\mathbb{X})$ is compactly generated, and give a number of examples.

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