Gorenstein syzygy objects in extriangulated categories
K-Theory and Homology
2021-05-24 v1
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.
Keywords
Cite
@article{arxiv.2105.10078,
title = {Gorenstein syzygy objects in extriangulated categories},
author = {Peiyu Zhang and Ming Chen and Dajun Liu and Jiaqun Wei},
journal= {arXiv preprint arXiv:2105.10078},
year = {2021}
}