Regular algebras of dimension 4 and their A-infinity Ext-algebras

D.-M. Lu; J. H. Palmieri; J. J. Zhang; Q.-S. Wu

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Regular algebras of dimension 4 and their A-infinity Ext-algebras

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arxiv math/0411497 v1 pith:BL2OBUCC submitted 2004-11-22 math.RA math.QA

D.-M. Lu , J. H. Palmieri , Q.-S. Wu , J. J. Zhang This is my paper

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keywords algebrasregulardimensionfoura-infinityartin-schelterext-algebrasglobal

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We construct four families of Artin-Schelter regular algebras of global dimension four. Under some generic conditions, this is a complete list of Artin-Schelter regular algebras of global dimension four that are generated by two elements of degree 1. These algebras are also strongly noetherian, Auslander regular and Cohen-Macaulay. One of the main tools is Keller's higher-multiplication theorem on A-infinity Ext-algebras.

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