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 
but ![$ B[t] \cong C[t]$](images/img2.gif){kind=small}
, where t is an indeterminate.
- [1] 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, https://doi.org/10.1016/0021-8693(72)90134-2
- [2] D. Coleman and E. Enochs, Polynomial invariance of rings, Proc. Amer. Math. Soc. 25 (1970), 559-562.
- [3] 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, https://doi.org/10.1090/S0002-9939-1972-0297763-8
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1972-0294325-3
Article copyright:
© Copyright 1972
American Mathematical Society
