Regular algebras of dimension 4 with 3 generators

Authors :: Rogalski, D.
Zhang, J. J.
Publication Year :: 2011
Abstract: 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.<br />Comment: 23 pages; No changes from version 1 except to add second author's name which was inadvertently omitted from original submission