A. V. Yakovlev

On p-Extensions of Fields of Characteristic p

It is proved that a Galois extension of a field of characteristic p is completely determined by its Galois group and the endomorphism of the additive group of the group algebra that corresponds to the raising to the power p.

Embedding of a Cyclic Extension into a Cyclic Extension

AbstractA necessary and sufficient condition of the existence of a cyclic Galois extension of degree

Duality of the categories of torsion-free Abelian groups of finite rank and quotient divisible Abelian groups

2^n

More about the embedding of a cyclic extension into a cyclic one

containing a given quadratic extension is found. Bibliography: 1 title.