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Abstract:
Let ?? be a Grothendieck category, ? an infinite regular cardinal. We investigate the ?-purity of ??, and the ?-pure acyclic complexes in C(??). Using the ?-presentable objects, we verify that the class of ?-pure acyclic complexes is a thick subcategory of homotopy category. Then we construct ?-pure derived category naturally. Through some specific constructions, we get that bounded above ?-pure derived categories coincide with specific homotopy categories.
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JOURNAL OF ALGEBRA AND ITS APPLICATIONS
ISSN: 0219-4988
Year: 2023
Issue: 12
Volume: 23
0 . 8 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
ESI HC Threshold:9
Cited Count:
WoS CC Cited Count: 0
SCOPUS Cited Count:
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 7
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