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    YAO Hailou, FENG Yaoyao. Presented Dimensions on Recollements of Abelian Categories[J]. Journal of Beijing University of Technology, 2019, 45(8): 809-814. DOI: 10.11936/bjutxb2018030027
    Citation: YAO Hailou, FENG Yaoyao. Presented Dimensions on Recollements of Abelian Categories[J]. Journal of Beijing University of Technology, 2019, 45(8): 809-814. DOI: 10.11936/bjutxb2018030027
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    Presented Dimensions on Recollements of Abelian Categories

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    • The concept of presented dimensions in Abelian categories was introduced and the relations of presented dimensions of objects in a short exact sequence were studied in this paper. Let Rab(\mathscrA, \mathscrB, \mathscrC) be a recollement of Abelian categories where \mathscrA, \mathscrB and \mathscrC are Abelian categories, the presented dimension of \mathscrB is finite if and only if the presented dimensions of \mathscrA and \mathscrC are finite under certain conditions, was proven.
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