JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2026, Vol. 61 ›› Issue (4): 13-18.doi: 10.6040/j.issn.1671-9352.0.2024.158

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Universal extensions in n-exangulated categories

HE Jian1, HE Jing2, ZHOU Panyue3*   

  1. 1. School of Science, Lanzhou University of Technology, Lanzhou 730050, Gansu, China;
    2. School of Mathematics and Statistics, Hunan University of Technology and Business, Changsha 410205, Hunan, China;
    3. School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha 410114, Hunan, China
  • Published:2026-04-08

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Abstract: Let(C,E,s)be an n-exangulated category. The notions of semi-universal extensions and universal extensions are introduced. It is shown that semi-universal extensions always exist. A necessary and sufficient condition of the existence of universal extensions is given. The results generalize some conclusions in extriangulated categories.

Key words: n-exangulated category, semi-universal extension, universal extension, projective cover

CLC Number: 

  • O154
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