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arXiv · 2105.10078

Gorenstein syzygy objects in extriangulated categories

Peiyu Zhang·Ming Chen·Dajun Liu·Jiaqun Wei
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Abstract

We give the definition of Gorenstein syzygy objects in extriangulated categories and obtain a characterization. For a recollement of extriangulated categories, we mainly show that Gorenstein syzygy objects induce a new Gorenstein syzygy objects under certain conditions, and prove that Gorenstein syzygy objects induce a new Gorenstein syzygy objects under certain conditions.

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Peiyu Zhang, Ming Chen, Dajun Liu, Jiaqun Wei. 2021-05-21. Gorenstein syzygy objects in extriangulated categories. https://arxiv.org/abs/2105.10078

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