Central extensions of ordered skew fields.
Completely normal elements in some finite abelian extensions
We present some completely normal elements in the maximal real subfields of cyclotomic fields over the field of rational numbers, relying on the criterion for normal element developed in [Jung H.Y., Koo J.K., Shin D.H., Normal bases of ray class fields over imaginary quadratic fields, Math. Z., 2012, 271(1–2), 109–116]. And, we further find completely normal elements in certain abelian extensions of modular function fields in terms of Siegel functions.
Conservation of the noetherianity by perfect transcendental field extensions.
Corps de fonctions algébriques
Correction to "An Isomorphism Theorem for Henselian algebraic extensions of valued fields".
Correction to the paper "Structure theorems for radical extensions of fields", Acta Arith. 38 (1980), pp. 111-115