arXiv subjects

Iqboljon Karimjanov

Publications and source records attributed to Iqboljon Karimjanov.

4 recordsLinked to original sources

arXiv2020

Central extensions of filiform Zinbiel algebras

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 an $n$-dimensional null-filiform Zinbiel algebra is isomorphic to an $(n+1)$-dimensional null-filiform Zinbiel algebra. Moreover, we obtain all pairwise non isomorphic quasi-filiform Zinbiel algebras.

math.RA↗

arXiv2020

One-generated nilpotent Novikov algebras

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

math.RA↗

arXiv2019

The algebraic and geometric classification of nilpotent Novikov algebras

This paper is devoted to give the complete algebraic and geometric classification of $4$-dimensional nilpotent Novikov algebras over $\mathbb C.$

math.RA↗

arXiv2018

Central extensions of filiform associative algebras

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

math.RA↗