JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2026, Vol. 61 ›› Issue (4): 52-55.doi: 10.6040/j.issn.1671-9352.0.2024.407

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Frobenius functors and X -Gorenstein projective objects

LI Aizhu, LIANG Li*   

  1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
  • Published:2026-04-08

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Abstract: let A be an abelian category with enough projective objects, and let X be a class of objects in A closed under isomorphism and containing the projective objects. The main purpose of this paper is to study under what conditions the Frobenius functors preserve the X -Gorenstein projective dimension of objects, and the conclusion that the Frobenius functors preserve the Ding projective dimension of objects is proved.

Key words: X -Gorenstein projective objects, Frobenius functors, X -Gorenstein projective dimension, Ding projective objects

CLC Number: 

  • O154
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[1] LEI Yiming, LIANG Li. X -Gorenstein cohomological dimension for groups [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2025, 60(11): 37-41.
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