The Nakayama automorphism of a class of graded algebras
@article{L2015TheNA, title={The Nakayama automorphism of a class of graded algebras}, author={Jia-feng L{\"u} and Xuefeng Mao and J. J. Zhang}, journal={Israel Journal of Mathematics}, year={2015}, volume={219}, pages={707-725} }
The Nakayama automorphism of a class of connected graded Artin–Schelter regular algebras is calculated explicitly.
4 Citations
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References
SHOWING 1-10 OF 26 REFERENCES
Nakayama automorphism and applications
- Mathematics
- 2014
Nakayama automorphism is used to study group actions and Hopf algebra actions on Artin-Schelter regular algebras of global dimension three.
On Koszul Algebras and a New Construction of Artin–Schelter Regular Algebras
- Mathematics
- 2001
Abstract We prove the simple fact that the factor ring of a Koszul algebra by a regular, normal, quadratic element is a Koszul algebra. This fact leads to a new construction of quadratic…
Existence Theorems for Dualizing Complexes over Non-commutative Graded and Filtered Rings
- Mathematics
- 1997
Abstract In this note we prove existence theorems for dualizing complexes over graded and filtered rings, thereby generalizing some results by Zhang, Yekutieli, and Jorgensen.
Skew Calabi-Yau triangulated categories and Frobenius Ext-algebras
- Mathematics
- 2014
We investigate the conditions that are sufficient to make the Ext-algebra of an object in a (triangulated) category into a Frobenius algebra and compute the corresponding Nakayama automorphism. As an…
Universal enveloping algebras of Poisson Ore extensions
- Mathematics
- 2014
We prove that the universal enveloping algebra of a Poisson-Ore extension is a length two iterated Ore extension of the original universal enveloping algebra. As consequences, we observe certain…
Some Algebras Associated to Automorphisms of Elliptic Curves
- Mathematics
- 2007
The main object of this paper is to relate a certain type of graded algebra, namely the regular algebras of dimension 3, to automorphisms of elliptic curves. Some of the results were announced in…
Some properties of non-commutative regular graded rings
- MathematicsGlasgow Mathematical Journal
- 1992
Let A be a noetherian ring. When A is commutative (of finite Krull dimension), A is said to be Gorenstein if its injective dimension is finite. If A has finite global dimension, one says that A is…