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PreprintCC BY-SA 4.0arXiv

Quasi-projective dimension and Gorenstein projective dimension

  • Yongyun Qin
  • Lanlan Yang
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Abstract

Gheibi, Jorgensen and Takahashi recently introduced the quasi-projective dimension, a homological invariant that extends the classical projective dimension. In this paper, we investigate this invariant from the perspective of Gorenstein homological algebra. First, we show that the quasi-projective dimension coincides with the Gorenstein projective dimension under certain conditions. Second, we introduce and study the quasi-Gorenstein projective dimension as a Gorenstein analogue of the quasi-projective dimension.

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Cite

BibTeXRIS
BibTeX
@misc{qin2026quasiprojective,
  title = {{Quasi-projective dimension and Gorenstein projective dimension}},
  author = {Yongyun Qin and Lanlan Yang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.07700},
  eprint = {2609.07700},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.07700},
  note = {CC BY-SA 4.0},
}
RIS
TY  - UNPB
TI  - Quasi-projective dimension and Gorenstein projective dimension
AU  - Yongyun Qin
AU  - Lanlan Yang
PY  - 2026
DA  - 2026/09/07
PB  - arXiv
DO  - 10.48550/arxiv.2609.07700
UR  - https://arxiv.org/abs/2609.07700
AB  - Gheibi, Jorgensen and Takahashi recently introduced the quasi-projective dimension, a homological invariant that extends the classical projective dimension. In this paper, we investigate this invariant from the perspective of Gorenstein homological algebra. First, we show that the quasi-projective dimension coincides with the Gorenstein projective dimension under certain conditions. Second, we introduce and study the quasi-Gorenstein projective dimension as a Gorenstein analogue of the quasi-projective dimension.
ER  -