On the purely inseparable closure of rings
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- by Shizuka Sato PDF
- Proc. Amer. Math. Soc. 100 (1987), 619-622 Request permission
Abstract:
Let $K \subseteqq R$ be commutative rings with identity 1. Let $D = \{ {D_i}\}$ be a higher derivation of $R$. We shall prove in this paper that if $K$ is invariant with respect to $D$, the purely inseparable closure $\overline {{K_R}}$ of $K$ in $R$ is invariant with respect to $D$ and the formal power series ring $\overline {{K_R}} [[t]]$ is purely inseparably closed in $R[[t]]$.References
- Shizuka Satô, On purely inseparable algebras and P.H.D. rings, Trans. Amer. Math. Soc. 266 (1981), no. 2, 483–498. MR 617546, DOI 10.1090/S0002-9947-1981-0617546-6
Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 100 (1987), 619-622
- MSC: Primary 13B10; Secondary 13F25
- DOI: https://doi.org/10.1090/S0002-9939-1987-0894426-3
- MathSciNet review: 894426