Перегляд Загальнонаукова періодика за автором "Yashchuk, V.S."

Результати 1-4 з 4

Leibniz algebras of dimension 3 over finite fields

Yashchuk, V.S. (Доповіді НАН України, 2018)

The first thing in the study of all types of algebras is the description of algebras having small dimensions. Unlike the simpler cases of 1- and 2-dimensional Leibniz algebras, the structure of 3-dimensional Leibniz ...
On ideals and contraideals in Leibniz algebras

Kurdachenko, L.A.; Subbotin, I.Ya.; Yashchuk, V.S. (Доповіді НАН України, 2020)

A subalgebra S of a Leibniz algebra L is called a contraideal, if an ideal, generated by S coincides with L. We study the Leibniz algebras, whose subalgebras are either an ideal or a contraideal. Let L be an algebra over ...
On Leibniz algebras, whose subideals are ideals

Kurdachenko, L.A.; Subbotin, I.Ya.; Yashchuk, V.S. (Доповіді НАН України, 2017)

We obtain a description of solvable Leibniz algebras, whose subideals are ideals. A description of certain types of Leibniz T-algebras is also obtained. In particular, it is established that the structure of Leibniz ...
On the derivations of Leibniz algebras of low dimension

Kurdachenko, L.A.; Semko, M.M.; Yashchuk, V.S. (Доповіді НАН України, 2023)

Let L be an algebra over a field F. Then L is called a left Leibniz algebra if its multiplication operations [⋅, ⋅] additionally satisfy the so-called left Leibniz identity: [[a,b],c] = [a,[b,c]] – [b,[a,c]] for all ...

Результати 1-4 з 4

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