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∞-Tilting Subcategories in Extriangulated Categories
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维普
In this paper,the authors introduce a new definition of oo-tilting(resp.cotilt-ing)subcategories with infinite projective dimensions(resp.injective dimensions)in an extriangulated category.They give a Bazzoni characterization of ∞-tilting(resp.cotilting)subcategories.Also,they obtain a partial Auslander-Reiten correspondence between ∞-tilting(resp.cotilting)subcategories and coresolving(resp.resolving)subcategories with an E-projective generator(resp.E-injective cogenerator)in an extriangulated category.
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维普
