Double Ore Extensions
Rings and Algebras
2007-12-18 v1
Abstract
A double Ore extension is a natural generalization of the Ore extension. We prove that a connected graded double Ore extension of an Artin-Schelter regular algebra is Artin-Schelter regular. Some other basic properties such as the determinant of the DE-data are studied. Using the double Ore extension, we construct 26 families of Artin-Schelter regular algebras of global dimension four in a sequel paper.
Keywords
Cite
@article{arxiv.0712.2549,
title = {Double Ore Extensions},
author = {James J. Zhang and Jun Zhang},
journal= {arXiv preprint arXiv:0712.2549},
year = {2007}
}