V. Bavula

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20242026

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4 papers · 1 filter

math.RA2026

Explicit descriptions of the subfields $(N L)^{p i}$ and $(N L)^{p i} (N L)^{se p}$ of $N L$ and new explicit criteria for $N L = (N L)^{p i} (N L)^{se p}$

V. V. Bavula

Let $L = K (I^¸) ≃ K [x] / f (x)$ be a simple field extension in prime characteristic $p > 0$ , $L^{se p}$ and $L^{p i}$ be the maximal separable and purely inseparable subfields of $L$ , re…

math.RA2024

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…

math.RA2024

$\D$-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…

math.RA2024

Ore sets, denominator sets and the left regular left quotient ring of a ring

V. V. Bavula

The aim of the papers is to describe the left regular left quotient ring $^{'} Q (R)$ and the right regular right quotient ring $Q^{'} (R)$ for the following algebras $R$ : $\mS_n=\mS_1^{\…

Explicit descriptions of the subfields (NL)pi and (NL)pi(NL)sep of NL and new explicit criteria for NL=(NL)pi(NL)sep

Affirmative answer to the Question of Leroy and Matczuk on injectivity of endomorphisms of semiprime left Noetherian rings with large images

$\D$-locally nilpotent algebras, their ideal structure and simplicity criteria

Ore sets, denominator sets and the left regular left quotient ring of a ring

Explicit descriptions of the subfields $(N L)^{p i}$ and $(N L)^{p i} (N L)^{se p}$ of $N L$ and new explicit criteria for $N L = (N L)^{p i} (N L)^{se p}$