Strongly stratifying ideals, Morita contexts and Hochschild homology

C Cibils, M Lanzilotta, EN Marcos, A Solotar - Journal of Algebra, 2024 - Elsevier
We consider stratifying ideals of finite dimensional algebras in relation with Morita contexts.
A Morita context is an algebra built on a data consisting of two algebras, two bimodules and …

Triangular matrix categories over quasi-hereditary categories

RFO De La Cruz, MO Morales… - Glasgow Mathematical …, 2024 - cambridge.org
In this paper, we prove that the lower triangular matrix category $\Lambda=\left [\begin
{smallmatrix}\mathcal {T} &0\\M&\mathcal {U}\end {smallmatrix}\right] $, where $\mathcal {T} …

Triangular Matrix Categories over path Categories and Quasi-hereditary Categories, as well as one point extensions by Projectives

M Ortiz-Morales, R Ochoa - arXiv preprint arXiv:2107.10982, 2021 - arxiv.org
In this paper, we prove that the lower triangular matrix category $\Lambda=\left [\begin
{smallmatrix}\mathcal {T} &0\\M&\mathcal {U}\end {smallmatrix}\right] $, where $\mathcal {T} …