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20152020
most citedThe algebraic and geometric classification of nilpotent Novikov algebras

43 citations · 81 across the 6 of their papers we have counts for

collaborators

6 papers

math.RA2020★ 9 cited

Central extensions of filiform Zinbiel algebras

Luisa M. Camacho, Iqboljon Karimjanov, Ivan Kaygorodov +1

In this paper we describe central extensions (up to isomorphism) of all complex null-filiform and filiform Zinbiel algebras. It is proven that every non-split central extension of…

math.RA2020★ 7 cited

One-generated nilpotent Novikov algebras

Luisa M. Camacho, Iqboljon Karimjanov, Ivan Kaygorodov +1

We give a classification of 5- and 6-dimensional complex one-generated nilpotent Novikov algebras

math.RA2018★ 43 cited

The algebraic and geometric classification of nilpotent Novikov algebras

Iqboljon Karimjanov, Ivan Kaygorodov, Abror Khudoyberdiyev

This paper is devoted to give the complete algebraic and geometric classification of -dimensional nilpotent Novikov algebras over

math.RA2018★ 15 cited

Central extensions of filiform associative algebras

Iqboljon Karimjanov, Ivan Kaygorodov, Manuel Ladra

In this paper we describe central extensions (up to isomorphism) of all complex null-filiform and filiform associative algebras.

math.RA2018★ 5 cited

Rota-type operators on null-filiform associative algebras

I. A. Karimjanov, Ivan Kaygorodov, Manuel Ladra

We give the description of homogeneous Rota-Baxter operators, Reynolds operators, Nijenhuis operators, Average operators and differential operator of weight 1 of null-filiform asso…

math.RT2015★ 2 cited

Leibniz algebras associated with representations of the Diamond Lie algebra

S. Uguz, I. A. Karimjanov, B. A. Omirov

In this paper we describe some Leibniz algebras whose corresponding Lie algebra is four-dimensional Diamond Lie algebra and the ideal generated by the squares of ele…