Double Ore Extensions

Details Double Ore Extensions Double Ore Extensions

2007-12-16

arxiv.org/abs/0712.2549v1

Mathematics

Rings and Algebras

Scientific paper

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.

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