Nonuniqueness of coefficient rings in a polynomial ring
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- by M. Hochster
- Proc. Amer. Math. Soc. 34 (1972), 81-82
- DOI: https://doi.org/10.1090/S0002-9939-1972-0294325-3
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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.References
- 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 10.1016/0021-8693(72)90134-2 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 10.1090/S0002-9939-1972-0297763-8
Bibliographic Information
- © Copyright 1972 American Mathematical Society
- 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