Polynomial rings over Goldie rings are often Goldie
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- by Victor Camillo and Robert Guralnick PDF
- Proc. Amer. Math. Soc. 98 (1986), 567-568 Request permission
Abstract:
Here, we prove a result that has as a consequence the fact that if the ring $R$ is an algebra over an uncountable field the a.c.c. on annihilators is preserved under polynomial extensions by any number of variables.References
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Jeanne Kerr, (to appear).
- Robert C. Shock, Polynomial rings over finite dimensional rings, Pacific J. Math. 42 (1972), 251–257. MR 318201
Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 98 (1986), 567-568
- MSC: Primary 16A34; Secondary 16A33
- DOI: https://doi.org/10.1090/S0002-9939-1986-0861751-0
- MathSciNet review: 861751