In 1954 László Rédei published Volume 1 of his Algebra book in Hungarian. It was published by Akadémiai Kiadó, Budapest. Paul Halmos gave the following translation of the chapter headings into English
Set theory (non-axiomatic); several forms of Zorn's lemma.
The concept of an algebraic structure (a set equipped with some operations, usually binary), semigroups, rings, skew fields, homomorphism, quotient with respect to an equivalence relation, the Jordan-Hölder-Schreier theorem.
Fields with valuations, real numbers, real closed fields, non-archimedean valuations, Ostrowski's theorem, the Hensel lemma.
Galois theory, quadratic reciprocity, cyclic fields, solvability, the general equation, solution of cubic and quartic equations, geometric constructions, the normal basis theorem.
JOC/EFR August 2007
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