@article{Li2026, 
author = {Huanhuan Li and Hanyang You and Yuefei Zheng and Haiyan Zhu},
title = {Recollement ideals and recollements of Gorenstein defect categories},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {4},
pages = {2348-2363},
keywords = {recollements, recollement ideals, Gorenstein projective modules, Gorenstein defect categories, Gorenstein projective conjecture},
url = {https://www.sciopen.com/article/10.3934/era.2026106},
doi = {10.3934/era.2026106},
abstract = {Let    R be an Artin algebra and    e  ∈  R an idempotent. We study when the recollement ideal    R  e  R induces (left) recollement of Gorenstein defect categories. As a consequence of this phenomenon, concrete triangle-equivalences between Gorenstein defect categories (resp. stable categories of Gorenstein projective modules) of    R and    R      /    R  e  R (resp.    e  R  e) are obtained, and reduction conditions for Gorensteinness (resp. CM-freeness) of    R and Gorenstein projective conjecture over    R are provided. Finally, some applications in the context of triangular matrix algebras are given.}
}