| ∞-Tilting Subcategories in Extriangulated Categories |
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| 作者姓名： | Zhen ZHANG Jiaqun WEI Shance WANG |
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| 作者单位： | 1. Department of Mathematics, Qilu Normal University;2. Institution of Mathematics, School of Mathematics Science, Nanjing Normal University |
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| 基金项目： | supported by the National Natural Science Foundation of China (Nos. 12101344,11371196)；;the Shan Dong Provincial Natural Science Foundation of China (No. ZR2015PA001)； |
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| 摘 要： | In this paper, the authors introduce a new definition of ∞-tilting(resp. cotilting) 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 ex...
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