Article ID Journal Published Year Pages File Type
4587592 Journal of Algebra 2009 37 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory