Regular algebras of dimension 4 with 3 generators
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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