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20192025
most citedThe algebraic classification of nilpotent commutative -algebras

3 citations · 3 across the 5 of their papers we have counts for

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7 papers

math.RA2025

Cohomological rigidity of conformal Galilei algebras and their central extensions

Abror Khudoyberdiyev, Doston Jumaniyozov

In this paper, we study the second adjoint cohomology of the compexification of the real conformal Galilei algebras \(\mathfrak{cga}_\ell(d,\mathbb{R})\) and their central extensio…

math.RA2025

Biderivations of some classes of solvable Leibniz algebras

Bakhtiyor Yusupov, Doston Jumaniyozov, Majidkhon Azizov

In this work, we investigate anti-derivations and biderivation of Leibniz algebras. We describe general form of anti-derivations and biderivations on null-filiform and filiform Lei…

math.RA2024

Infinitesmal deformations and central extensions of the -th Schrödinger algebra

Doston Jumaniyozov, Surayyo Sheraliyeva

In this paper we study the second cohomology space for the -th Schrödinger algebra . We prove that the second cohomology space is vanishing for and…

math.RA2024

Local derivation on the -th Schr{ö}dinger algebra

Amir Alauadinov, Bakhtiyor Yusupov, Doston Jumaniyozov

This paper is devoted to study local derivations on the -th Schr{ö}dinger algebra We prove that every local derivation on is a derivation.

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.RA2021★ 3 cited

The algebraic classification of nilpotent commutative -algebras

Doston Jumaniyozov, Ivan Kaygorodov, Abror Khudoyberdiyev

An algebraic classification of complex -dimensional nilpotent commutative -algebras is given. This classification is based on an algebraic classification of compl…