Double Extension Regular Algebras of Type (14641)

Details Double Extension Regular Algebras of Type (14641) Double Extension Regular Algebras of Type (14641)

2007-12-16

arxiv.org/abs/0712.2550v1

Mathematics

Rings and Algebras

Scientific paper

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.

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