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On couplings on a simple transcendental extension

Results in Mathematics, 2003
Let $F$ be a field and $F^*=F\setminus\{0\}$. A function $\kappa: F^*\to\Aut(F), x\to\kappa_x$ is called a coupling on $F$ if $\kappa_{x \kappa_x(y)}=\kappa_x \circ\kappa_y$ for all $x,x\in F^*$. A coupling is called strong if $\kappa_{\kappa_x(y)}=\kappa_y$ for all $x,y\in F^*$. Let $\kappa$ be a coupling on $F=(F,+,\bullet)$. Let \
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Prolongations of valuations to simple transcendental extensions with given residue field and value group

Mathematika, 1991
Let $K_ 0(x)$ be a simple transcendental extension of a field $K_ 0$, $v_ 0$ be a non-trivial valuation of $K_ 0$ with value group $G_ 0$ and residue field $k_ 0$. Suppose we are given a finite extension k of $k_ 0$ and an inclusion $G_ 0\subseteq G_ 1\subseteq G$ of totally ordered abelian groups with \([G_ 1 : G_ 0]
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ON THE EXTENSION OF THE RING TOPOLOGY OF A $ \sigma$-BOUNDED FIELD TO A SIMPLE TRANSCENDENTAL EXTENSION OF THE FIELD

Mathematics of the USSR-Sbornik, 1988
See the review in Zbl 0631.12020.
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Indonesia as a legal welfare state: A prophetic-transcendental basis

Heliyon, 2021
Khudzaifah Dimyati, Kelik Wardiono, Arief Budiono +2 more
exaly

Extending locally bounded field topologies to a simple transcendental extension

Algebra and Logic, 1981
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Transcendental experiences during meditation practice

Annals of the New York Academy of Sciences, 2014
Frederick T Travis
exaly

TRANSCENDENTAL MEDITATION

Lancet, The, 1972
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Solving transcendental equation using artificial neural network

Applied Soft Computing Journal, 2018
Snehashish Chakraverty
exaly