English

Regular algebras of dimension 4 with 3 generators

Rings and Algebras 2011-01-13 v2

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.

Keywords

Cite

@article{arxiv.1101.1998,
  title  = {Regular algebras of dimension 4 with 3 generators},
  author = {D. Rogalski and J. J. Zhang},
  journal= {arXiv preprint arXiv:1101.1998},
  year   = {2011}
}

Comments

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