M. Khrypchenko

activity

20152025

most citedThe algebraic and geometric classification of nilpotent anticommutative algebras

43 citations · 330 across the 44 of their papers we have counts for

collaborators

Showing 2024 · math.RAShow all

4 papers · 2 filters

math.RA2024

$σ$ -matching and interchangeable structures on the strictly upper triangular matrix algebra

Mykola Khrypchenko

We describe $σ$ -matching, interchangeable and, as a consequence, totally compatible structures on the strictly upper triangular matrix algebra $U T_{n} (K)$ for all $n \geq 3$ .

math.RA2024★ 5 cited

The geometric classification of non-associative algebras: a survey

Ivan Kaygorodov, Mykola Khrypchenko, Pilar Páez-Guillán

This is a survey on the geometric classification of different varieties of algebras (nilpotent, nil-, associative, commutative associative, cyclic associative, Jordan, Kokoris, sta…

math.RA2024★ 2 cited

$σ$ -matching and interchangeable structures on certain associative algebras

Mykola Khrypchenko

We describe $σ$ -matching, interchangeable and, as a consequence, totally compatible products on some classes of associative algebras, including unital algebras, the semigroup algeb…

math.RA2024

Invertibility preservers of finitary incidence algebras

Jorge J. Garcés, Mykola Khrypchenko

Let $X$ be an arbitrary poset and $K$ an arbitrary field. We describe linear unital invertibility preservers of the finitary incidence algebra $F I (X, K)$ in terms of certain maps of…

σ-matching and interchangeable structures on the strictly upper triangular matrix algebra

The geometric classification of non-associative algebras: a survey

σ-matching and interchangeable structures on certain associative algebras

Invertibility preservers of finitary incidence algebras

$σ$ -matching and interchangeable structures on the strictly upper triangular matrix algebra

$σ$ -matching and interchangeable structures on certain associative algebras