Affine 𝑃𝐼 rings are catenary

Schelter, W.

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

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

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

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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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