Nonuniqueness of coefficient rings in a polynomial ring
Author:
M. Hochster
Journal:
Proc. Amer. Math. Soc. 34 (1972), 81-82
MSC:
Primary 13B25
DOI:
https://doi.org/10.1090/S0002-9939-1972-0294325-3
MathSciNet review:
0294325
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Abstract | References | Similar Articles | Additional Information
Abstract: An example is given of commutative rings B, C with 1 such that $B\ncong C$ but $B[t] \cong C[t]$, where t is an indeterminate.
- Shreeram S. Abhyankar, William Heinzer, and Paul Eakin, On the uniqueness of the coefficient ring in a polynomial ring, J. Algebra 23 (1972), 310–342. MR 306173, DOI https://doi.org/10.1016/0021-8693%2872%2990134-2 D. Coleman and E. Enochs, Polynomial invariance of rings, Proc. Amer. Math. Soc. 25 (1970), 559-562.
- Paul Eakin and K. K. Kubota, A note on the uniqueness of rings of coefficients in polynomial rings, Proc. Amer. Math. Soc. 32 (1972), 333–341. MR 297763, DOI https://doi.org/10.1090/S0002-9939-1972-0297763-8
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© Copyright 1972
American Mathematical Society