7 citations · 37 across the 47 of their papers we have counts for
49 papers
Explicit descriptions of the subfields and of and new explicit criteria for
V. V. Bavula
Let be a simple field extension in prime characteristic , and be the maximal separable and purely inseparable subfields of , res…
Analogue of the Galois Theory for arbitrary finite field extensions
V. V. Bavula
This paper is a finishing touch to the (over 200 years) {\em classical} `Galois Theory' of {\em arbitrary} finite field extensions, i.e. the goal of it is to describe intermediate…
Analogue of the Galois Theory for normal fields and B-extensions (characteristic free approach)
V. V. Bavula
The aim of the paper is to introduce B-extensions which are the most symmetrical finite field extensions (a finite field extension is called a {\it B-extension} if the endomo…
The Galois Theory (a ring theoretic approach)
V. V. Bavula
The fundamental concepts in the Galois Theory are separable, normal and Galois field extensions. These concepts are central in proofs of the Galois Theory. In the paper, we introdu…
Affirmative answer to the Question of Leroy and Matczuk on injectivity of endomorphisms of semiprime left Noetherian rings with large images
V. V. Bavula
The class of semiprime left Goldie rings is a huge class of rings that contains many large subclasses of rings -- semiprime left Noetherian rings, semiprime rings with Krull dimens…
$\D$-locally nilpotent algebras, their ideal structure and simplicity criteria
V. V. Bavula
The class of $\D$-locally nilpotent algebras (introduced in the paper) is a wide generalization of the algebras of differential operators on commutative algebras. Examples includes…