O. Bezushchak

activity

20202026

most citedAutomorphisms and derivations of affine commutative and PI-algebras

1 citations · 1 across the 7 of their papers we have counts for

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math.RA2026

Lie Algebras of Locally Finite Derivations over Fields of Positive Characteristic

Oksana Bezushchak, Anatoliy Petravchuk

Let $F$ be a field of positive characteristic, and let $A$ be a finitely generated commutative associative $F$ -algebra. We study Lie subalgebras of $D er A$ generated by locally…

math.RA2026

Lie and Jordan Isomorphisms of Algebras of Triangular Matrices over Associative Rings

Oksana Bezushchak

We describe Lie and Jordan isomorphisms of algebras of triangular matrices over associative rings.

math.RA2026

When Is a Bogolyubov Automorphism Inner?

Nikita Arskyi, Oksana Bezushchak

Let $V$ be an infinite-dimensional vector space over a field of characteristic not equal to $2$ . Given a nondegenerate quadratic form $f$ on $V$ , we consider the Clifford algebra $…

math.RA2026

Normalized Rank- and Determinant-Preserving Mappings of Locally Matrix Algebras

Oksana Bezushchak

Let $A$ be a unital locally matrix algebra. Among the examples of such algebras are: (1) an infinite tensor product $\otimes M_{n_{i}} (F)$ of matrix algebras over a field $\…