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Results tagged with localization
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user 24965
4
votes
0
answers
105
views
Could we form the homotopy category of a dg-category by inverting homotopic invertible morph...
Let $k$ be a field and $\mathcal{C}$ be a dg-category over $k$. It is standard to define the homotopy category $H^0(\mathcal{C})$ as the category consisting the same objects as $\mathcal{C}$ but morph …
- 9,019
4
votes
0
answers
171
views
Do we have criteria of strict localization of a Grothendieck category?
Similarly we call a full subcategory $\mathcal{L}$ of an abelian category $\mathcal{C}$ a strict localization if the inclusion functor $i: \mathcal{L}\to \mathcal{C}$ has an exact left adjoint $a: \mathcal … My question is: When $\mathcal{C}$ is a Grothendieck category, do we have an explicit criterion on what kind of full subcategory $\mathcal{L}$ of $\mathcal{C}$ is a strict localization? …
- 9,019
3
votes
0
answers
246
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The multiplicative system in a symmetric monoidal category
And can we define a localization along this more general multiplicative system? …
- 9,019