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

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

2004-11-22

arxiv.org/abs/math/0411497v1

Mathematics

Rings and Algebras

34 pages

Scientific paper

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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