Affine 𝑃𝐼 rings are catenary

Schelter, W.

doi:10.1090/S0002-9904-1977-14427-3

Bulletin of the American Mathematical Society

Published by the American Mathematical Society, the Bulletin of the American Mathematical Society (BULL) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.47.

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Affine ${\text {PI}}$ rings are catenary
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Bull. Amer. Math. Soc. 83 (1977), 1309-1310

References

M. Artin, On Azumaya algebras and finite dimensional representations of rings, J. Algebra 11 (1969), 532–563. MR 242890, DOI 10.1016/0021-8693(69)90091-X
Claudio Procesi, Rings with polynomial identities, Pure and Applied Mathematics, vol. 17, Marcel Dekker, Inc., New York, 1973. MR 0366968
William Schelter, Integral extensions of rings satisfying a polynomial identity, J. Algebra 40 (1976), no. 1, 245–257. MR 417238, DOI 10.1016/0021-8693(76)90095-8
W. Schelter, Affine PI rings are catenary, Bull. Amer. Math. Soc. 83 (1977), no. 6, 1309–1310. MR 450314, DOI 10.1090/S0002-9904-1977-14427-3