# Co-Gorenstein Algebras

@article{Kvamme2019CoGorensteinA,
title={Co-Gorenstein Algebras},
author={Sondre Kvamme and Ren{\'e} Marczinzik},
journal={Applied Categorical Structures},
year={2019},
volume={27},
pages={277-287}
}
• Published 1 May 2018
• Mathematics
• Applied Categorical Structures
We review the theory of Co-Gorenstein algebras, which was introduced in Beligiannis (Commun Algebra 28(10):4547–4596, 2000). We show a connection between Co-Gorenstein algebras and the Nakayama and Generalized Nakayama conjecture.
2 Citations
The singularity category of a $d\mathbb{Z}$-cluster tilting subcategory.
For an exact category $\mathcal{E}$ with enough projectives and with a $d\mathbb{Z}$-cluster tilting subcategory, we show that the singularity category of $\mathcal{E}$ admits a $d\mathbb{Z}$-cluster
$$d\mathbb {Z}$$ d Z -Cluster tilting subcategories of singularity categories
For an exact category $${{\mathcal {E}}}$$ E with enough projectives and with a $$d\mathbb {Z}$$ d Z -cluster tilting subcategory, we show that the singularity category of $${{\mathcal {E}}}$$ E

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