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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Non-noetherian regular rings of dimension 2

Author(s): James J. Zhang
Journal: Proc. Amer. Math. Soc. 126 (1998), 1645-1653.
MSC (1991): Primary 16W50, 16E10, 16E70
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Abstract | References | Similar articles | Additional information

Abstract: We study connected, not necessarily noetherian, regular rings of global dimension 2.


References:

1.
M. Artin and W. Schelter, Graded algebras of global dimension 3, Adv. Math., 66(1987) 171-216. MR 88k:16003

2.
M. Artin, J. Tate and M. van den Bergh, Some algebras related to automorphisms of elliptic curves, The Grothendieck Festschrift, Vol. 1, 33-85, Birkhauser, Boston 1990. MR 92e:14002

3.
M. Artin, J. Tate and M. van den Bergh, Modules over regular algebras of dimension 3, Invent. Math., 106 (1991) 335-388. MR 93e:16055

4.
G. Bergman, The Diamond lemma for ring theory, Adv. Math., 29(1978), 178-216. MR 81b:16001

5.
W. Dicks, On the cohomology of one-relator associative algebras, J. Algebra, 97 (1985), 79-100. MR 87h:16041

6.
C. Nastasescu and F. Van Oystaeyen, Graded Ring Theory, North Holland, Amsterdam, 1982. MR 84i:16002

7.
D. R. Stephenson, Artin-Schelter regular algebras of global dimension three, J. Algebra, 183 (1996), no. 1, 55-73. MR 97h:16053

8.
D. R. Stephenson, Algebras associated to elliptic curves, Trans. Amer. Math. Soc., 349 (1997), 2317-2340. CMP 97:09

9.
D. R. Stephenson and J. J. Zhang, Growth of graded noetherian rings, Proc. Amer. Math. Soc., 125 (1997), 1593-1605. MR 97g:16033

10.
J. J. Zhang, Twisted graded algebras and equivalences of graded categories, Proc. London Math. Soc., (3)72 (1996), 281-311. MR 96k:16078

11.
J. J. Zhang, Quadratic algebras with few relations, Glasgow Math. J., to appear.


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Additional Information:

James J. Zhang
Affiliation: Department of Mathematics, Box 354350, University of Washington, Seattle, Washington 98195
Email: zhang@math.washington.edu

DOI: 10.1090/S0002-9939-98-04480-3
PII: S 0002-9939(98)04480-3
Keywords: Connected algebra, global dimension, regular algebra
Received by editor(s): December 3, 1996
Additional Notes: This research was supported by an NSF Postdoctoral Fellowship
Communicated by: Ken Goodearl
Copyright of article: Copyright 1998, American Mathematical Society


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