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20182026
most citedThe algebraic classification of nilpotent Novikov algebras

3 citations · 8 across the 23 of their papers we have counts for

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Showing 2024Show all

6 papers · 1 filter

math.RA2024

The algebraic and geometric classification of noncommutative Jordan algebras

Hani Abdelwahab, Kobiljon Abdurasulov, Ivan Kaygorodov

In this paper, we develop a method to obtain the algebraic classification of noncommutative Jordan algebras from the classification of Jordan algebras of the same dimension. We use…

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 quasi-filiform Lie algebras of maximum length

Kobiljon Abdurasulov, Fatanah Deraman, Azamat Saydaliyev +1

This article will discussing on -derivations of quasi-filiform Lie algebras of maximum length. The non-trivial transposed Poisson algebras with the quasi-filiform Lie…

math.RA2024

Classification of three-dimensional anti-dendriform algebras

K. Abdurasulov, J. Adashev, Z. Normatov +1

This article is devoted to the classification of anti-dendriform algebras that are associated with associativity. They are characterized as algebras with two operations whose sum i…

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.

math.RA2024★ 2 cited

Transposed Poisson structures on solvable Lie algebras with filiform nilradical

Kobiljon Abdurasulov, Jobir Adashev, Sabohat Eshmeteva

In this article, we described 1/2-derivations of solvable Lie algebras with a thread-like nilradical. Nontrivial transposed Poisson algebras with solvable Lie algebras are construc…