2007/12/16 by James J. Zhang, Jun Zhang, Zhang, James J. +1 · 3 citations
Mathematics · #16A62 #16S36 #16W50 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:16A62 #msc:16S36 #msc:16W50
paper · pdf · doi:10.48550/arxiv.0712.2549
arxiv created 2007/12/16 · arxiv updated 2009/12/01
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.