Iryna Kashuba

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math.RA2025

Derivations of Lie Algebras of Vector Fields in Infinitely Many Variables

Oksana Bezushchak, Iryna Kashuba

Let $W_{X} (F)$ be the Lie algebra of all derivations of the polynomial algebra $F [X]$ in infinitely many variables. We describe all derivations of $W_{X} (F)$ …

math.RA2025

On Lie isomorphisms of rings

Oksana Bezushchak, Iryna Kashuba, Efim Zelmanov

An associative ring $A$ gives rise to the Lie ring $A^{(-)} = (A, [a, b] = ab - ba)$ . The subject of isomorphisms of Lie rings $A^{(-)}$ and $[A, A]$ has attracted considerable attention i…