Regular algebras of dimension 4 with 3 generators

Details Regular algebras of dimension 4 with 3 generators Regular algebras of dimension 4 with 3 generators

2011-01-11

arxiv.org/abs/1101.1998v2

Mathematics

Rings and Algebras

23 pages; No changes from version 1 except to add second author's name which was inadvertently omitted from original submissio

Scientific paper

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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