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arXiv · 2609.07700

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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Yongyun Qin, Lanlan Yang. 2026-09-07. Quasi-projective dimension and Gorenstein projective dimension. https://arxiv.org/abs/2609.07700

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