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} }
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.
- Mathematics
- 2018
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
- MathematicsMathematische Zeitschrift
- 2020
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…
References
SHOWING 1-10 OF 10 REFERENCES
The homological theory of contravariantly finite subcategories:auslander-buchweitz contexts, gorenstein categories and (co-)stabilization
- Mathematics
- 2000
Let C be an abelian or exact category with enough projectives and let P be the full subcategory of projective objects of C . We consider the stable category C/P modulo projectives, as a left…
The loop-space functor in homological algebra
- Mathematics
- 1960
This note constitutes a sequel to [AC], the terminology and notation of which are used throughout. Its purpose is to contribute some technical devices, viz. the notion of an ideal, and that of the…
Fossum , Phillip A . Griffith , and Idun Reiten . Trivial extensions of abelian categories
- 2000
Right triangulated categories with right semi-equivalences
- In Algebras and modules, II (Geiranger,
- 1996