Double Extension Regular Algebras of Type (14641)
Rings and Algebras
2007-12-18 v1
Abstract
We construct several families of Artin-Schelter regular algebras of global dimension four using double Ore extension and then prove that all these algebras are strongly noetherian, Auslander regular, Koszul and Cohen-Macaulay domains. Many regular algebras constructed in the paper are new and are not isomorphic to either a normal extension or an Ore extension of an Artin-Schelter regular algebra of global dimension three.
Cite
@article{arxiv.0712.2550,
title = {Double Extension Regular Algebras of Type (14641)},
author = {James J. Zhang and Jun Zhang},
journal= {arXiv preprint arXiv:0712.2550},
year = {2007}
}