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Affine ${\text{PI}}$ rings are catenary
Author:
W. Schelter
Journal:
Bull. Amer. Math. Soc. 83 (1977), 1309-1310
MSC (1970):
Primary 16A38
MathSciNet review:
0450314
Full-text PDF
References |
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Additional Information
- 1.
M.
Artin, On Azumaya algebras and finite dimensional representations
of rings., J. Algebra 11 (1969), 532–563. MR 0242890
(39 #4217)
- 2.
Claudio
Procesi, Rings with polynomial identities, Marcel Dekker Inc.,
New York, 1973. Pure and Applied Mathematics, 17. MR 0366968
(51 #3214)
- 3.
Y. Razymslov, The Jacobson radical in PI algebras, Algebra and Logic 13 (1975), 192-204.
- 4.
William
Schelter, Integral extensions of rings satisfying a polynomial
identity, J. Algebra 40 (1976), no. 1,
245–257. MR 0417238
(54 #5295)
- 5.
W.
Schelter, Affine PI rings are catenary,
Bull. Amer. Math. Soc. 83 (1977),
no. 6, 1309–1310. MR 0450314
(56 #8610), http://dx.doi.org/10.1090/S0002-9904-1977-14427-3
- 1.
- M. Artin, On Azumaya algebras and finite-dimensional representations of rings, J. Algebra 11 (1969), 532-563. MR 242890
- 2.
- C. Procesi, Rings with polynomial identities, Dekker, New York, 1973. MR 366968
- 3.
- Y. Razymslov, The Jacobson radical in PI algebras, Algebra and Logic 13 (1975), 192-204.
- 4.
- W. Schelter, Integral extensions of rings satisfying a polynomial identity, J. Algebra 40 (1976), 245-257. MR 417238
- 5.
- W. Schelter, Non-commutative affine PI rings are catenary, Dalhousie University, 1975 (preprint). MR 450314
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1977-14427-3
PII:
S 0002-9904(1977)14427-3
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