| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4596667 | Journal of Pure and Applied Algebra | 2014 | 25 Pages |
Abstract
We study and classify Artin-Schelter regular algebras of dimension five with two generators under an additional Z2-grading by Hilbert driven Gröbner basis computations. All the algebras we obtained are strongly noetherian, Auslander regular, and Cohen-Macaulay. One of the results provides an answer to Fløystad-Vatneʼs question in the context of Z2-grading. Our results also achieve a connection between Lyndon words and Artin-Schelter regular algebras.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
G.-S. Zhou, D.-M. Lu,