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20062025
most citedThe algebraic and geometric classification of nilpotent Novikov algebras

43 citations · 141 across the 44 of their papers we have counts for

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Showing 2024 · math.RAShow all

6 papers · 2 filters

math.RA2024

Transposed Poisson structures on Virasoro-type algebras

Ivan Kaygorodov, Abror Khudoyberdiyev, Zarina Shermatova

We compute -derivations on the deformed generalized Heisenberg-Virasoro algebras and on not-finitely graded Heisenberg-Virasoro algebras , $\widetild…

math.RA2024

The algebraic classification of nilpotent bicommutative algebras

Kobiljon Abdurasulov, Ivan Kaygorodov, Abror Khudoyberdiyev

This paper is devoted to the complete algebraic classification of complex 5-dimensional nilpotent bicommutative algebras.

math.RA2024

Transposed Poisson structures on Witt-type algebras

Ivan Kaygorodov, Abror Khudoyberdiyev, Zarina Shermatova

We compute -derivations on the deformative Schrödinger-Witt algebra, on not-finitely graded Witt algebras , and on not-finitely graded Heisenberg-Witt algebra…

math.RA2024

Local derivations and automorphisms of nilpotent Lie algebra

Abror Khudoyberdiyev, Doston Jumaniyozov

The paper is devoted to the study of local derivations and automorphisms of nilpotent Lie algebras. Namely, we proved that nilpotent Lie algebras with indices of nilpotency and…

math.RA2024

Local and 2-local -derivations on finite-dimensional Lie algebras

Abror Khudoyberdiyev, Bakhtiyor Yusupov

In this work, we introduce the notion of local and -local -derivations and describe local and -local -derivation of finite-dimensional solvable Lie algebras w…

math.RA2024★ 3 cited

The algebraic classification of nilpotent Novikov algebras

Kobiljon Abdurasulov, Ivan Kaygorodov, Abror Khudoyberdiyev

This paper is devoted to the complete algebraic classification of complex -dimensional nilpotent Novikov algebras.