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Regular algebras of dimension 4 with 3 generators

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arxiv 1101.1998 v2 pith:J42W37MA submitted 2011-01-11 math.RA

classification math.RA
keywords regularalgebrasdimensiongeneratorsadditionalartin-schelterauslanderclassify
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We study Artin-Schelter regular algebras of global dimension 4 with three generators of degree one. We classify those which are domains and which have an additional Z x Z-grading, and prove that all of these examples are also strongly noetherian, Auslander regular, and Cohen-Macaulay.

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