Plane Frobenius sandwiches of degree $p$
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- by D. Daigle PDF
- Proc. Amer. Math. Soc. 117 (1993), 885-889 Request permission
Abstract:
Let ${\mathbf {k}}$ be a field of characteristic $p > 0$ and $A,R$ polynomial rings in two indeterminates over ${\mathbf {k}}$. It is shown that, if ${\mathbf {k}}[{R^p}] \subset A \subset R$ (strictly) then there exist $x,y \in R$ such that $R = {\mathbf {k}}[x,y]$ and $A = {\mathbf {k}}[{x^p},y]$. (The case where ${\mathbf {k}}$ is algebraically closed was proved by Ganong in 1979.) Another result is obtained in the situation where ${R^{{p^n}}} \subseteq A \subseteq R$.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 117 (1993), 885-889
- MSC: Primary 13A35; Secondary 13F20, 14L30
- DOI: https://doi.org/10.1090/S0002-9939-1993-1118085-2
- MathSciNet review: 1118085