Quillen equivalences for stable categories
Quillen equivalences for stable categories
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DOI：
10.1016/j.jalgebra.2017.12.033
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发表时间：
2016-10
期刊：
影响因子：
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通讯作者：
G. Dalezios;S. Estrada;Henrik Holm
中科院分区：
文献类型：
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作者：
G. Dalezios;S. Estrada;Henrik Holm
对于阿贝尔范畴A，我们研究了稳定范畴GPro _ j（A）和GIn _ j（A）何时是三角等价的.为此，我们实现这些稳定的类别同伦类别的某些（非平凡的）模型类别，并给出条件A，确保存在的Quillen等价模型类别之间的问题。我们还研究了这样一个Quillen等价何时从A转移到A中的链复形范畴。
For an abelian category A we investigate when the stable categories GPro _ j (A) and GIn _ j (A) are triangulated equivalent. To this end, we realize these stable categories as homotopy categories of certain (non-trivial) model categories and give conditions on A that ensure the existence of a Quillen equivalence between the model categories in question. We also study when such a Quillen equivalence transfers from A to the category of chain complexes in A.