Affine ${\text{PI}}$ rings are catenary
Author:
W. Schelter
Journal:
Bull. Amer. Math. Soc. 83 (1977), 1309-1310
MSC (1970):
Primary 16A38
DOI:
https://doi.org/10.1090/S0002-9904-1977-14427-3
MathSciNet review:
0450314
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References | Similar Articles | Additional Information
- 1. M. Artin, On Azumaya algebras and finite dimensional representations of rings., J. Algebra 11 (1969), 532–563. MR 0242890, https://doi.org/10.1016/0021-8693(69)90091-X
- 2. Claudio Procesi, Rings with polynomial identities, Marcel Dekker, Inc., New York, 1973. Pure and Applied Mathematics, 17. MR 0366968
- 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, https://doi.org/10.1016/0021-8693(76)90095-8
- 5. W. Schelter, Affine PI rings are catenary, Bull. Amer. Math. Soc. 83 (1977), no. 6, 1309–1310. MR 0450314, https://doi.org/10.1090/S0002-9904-1977-14427-3
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9904-1977-14427-3