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 of extriangulated categories, we show that -tilting (resp. -cotilting) subcategories in and can be glued to get -tilting (resp. -cotilting) subcategories in 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}
}
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12 pages