JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (2): 14-18.doi: 10.6040/j.issn.1671-9352.0.2023.320

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n-weak injective objects in Abelian category

SI Huiru, YAO Hailou*   

  1. Department of Mathematics, Faculty of Science, Beijing University of Technology, Beijing 100124, China
  • Published:2025-02-14

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Abstract: In the context of Abelian categories, the introduction of n-super finitely presented objects is employed to characterize n-weak injective objects, thereby some fundamental properties of n-weak injective objects are established. The n-weak injective dimensions of objects in an Abelian category is defined, and the connections between the n-weak injective dimensions of three objects in a short exact sequence and the cotorsion theory are discussed.

Key words: Abelian category, n-weak injective object, n-weak injective dimension

CLC Number: 

  • O153.3
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