# One-generated nilpotent terminal algebras

@article{Kaygorodov2020OnegeneratedNT, title={One-generated nilpotent terminal algebras}, author={Ivan Kaygorodov and Abror Kh. Khudoyberdiyev and Aloberdi Sattarov}, journal={Communications in Algebra}, year={2020}, volume={48}, pages={4355 - 4390} }

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

## 8 Citations

### One-Generated Nilpotent Bicommutative Algebras

- MathematicsAlgebra Colloquium
- 2022

We give a classification of 5- and 6-dimensional complex one-generated nilpotent bicommutative 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 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…

### Conservative algebras of 2-dimensional algebras, III

- Mathematics
- 2021

Abstract In the present paper we prove that every local and 2-local derivation on conservative algebras of 2-dimensional algebras are derivations. Also, we prove that every local and 2-local…

### 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…

### Central extensions of filiform Zinbiel algebras

- MathematicsLinear and Multilinear Algebra
- 2020

ABSTRACT 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…

### R A ] 1 S ep 2 02 0 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…

### Conservative algebras and superalgebras: a survey

- Mathematics
- 2020

Abstract We give a survey of results obtained on the class of conservative algebras and superalgebras, as well as on their important subvarieties, such as terminal algebras.

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