English

Gluing n-tilting and n-cotilting subcategories

Representation Theory 2023-02-07 v1 Category Theory Rings and Algebras

Abstract

Recently, Wang, Wei and Zhang define the recollement of extriangulated categories, which is a generalization of both recollement of abelian categories and recollement of triangulated categories. For a recollement (A,B,C)(\mathcal A ,\mathcal B,\mathcal C) of extriangulated categories, we show that nn-tilting (resp. nn-cotilting) subcategories in A\mathcal A and C\mathcal C can be glued to get nn-tilting (resp. nn-cotilting) subcategories in B\mathcal B under certain conditions.

Keywords

Cite

@article{arxiv.2108.08522,
  title  = {Gluing n-tilting and n-cotilting subcategories},
  author = {Yu Liu and Panyue Zhou},
  journal= {arXiv preprint arXiv:2108.08522},
  year   = {2023}
}

Comments

12 pages

R2 v1 2026-06-24T05:14:36.137Z