# One-generated nilpotent Novikov algebras

@article{Camacho2020OnegeneratedNN, title={One-generated nilpotent Novikov algebras}, author={Luisa Mar{\'i}a Camacho and Iqboljon Karimjanov and Ivan Kaygorodov and A. Kh. Khudoyberdiyev}, journal={arXiv: Rings and Algebras}, year={2020} }

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

## 8 Citations

One-generated nilpotent terminal algebras

- Mathematics
- 2020

Abstract We give an algebraic classification of complex 5-dimensional one-generated nilpotent terminal algebras.

One-generated nilpotent assosymmetric algebras

- Mathematics
- 2020

We give the classification of $5$- and $6$-dimensional complex one-generated nilpotent assosymmetric algebras.

The algebraic classification of nilpotent Tortkara algebras

- Mathematics
- 2019

Abstract We classify all complex 6-dimensional nilpotent Tortkara algebras. Communicated by Alberto Facchini

The algebraic classification of nilpotent commutative -algebras

- MathematicsCommunications in Algebra
- 2020

Abstract An algebraic classification of complex 5-dimensional nilpotent commutative -algebras is given. This classification is based on an algebraic classification of complex 5-dimensional nilpotent…

Central extensions of filiform Zinbiel algebras

- Mathematics
- 2020

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 ...

R A ] 1 S ep 2 02 0 Central extensions of filiform Zinbiel algebras

- 2020

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…

Central extensions of 3-dimensional Zinbiel algebras

- MathematicsRicerche di Matematica
- 2021

We describe all central extensions of all 3-dimensional non-zero complex Zinbiel algebras. As a corollary, we have a full classification of 4-dimensional non-trivial complex Zinbiel algebras and a…

One-generated nilpotent bicommutative algebras

- Mathematics
- 2021

The algebraic classification, up to isomorphism, of algebras of dimension n from a certain variety defined by a family of polynomial identities is a classical problem in the theory of non-associative…

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Abstract We classify all complex 6-dimensional nilpotent Tortkara algebras. Communicated by Alberto Facchini

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