arXiv:2306.00425v2 [math.RA] 1 Nov 2023 Page 1 Communications in Mathematics 32 (2024),
no. 3, 1–62 DOI: https://doi.org/10.46298/cm.11419 ©2024 Ivan Kaygorodov This is an open …

The variety of dual mock-Lie algebras Page 1 Communications in Mathematics 28 (2020)
161–178 DOI: 10.2478/cm-2020-0019 c 2020 Luisa M. Camacho, Ivan Kaygorodov, Viktor …

We give a complete description of the primary degenerations and non-degenerations
between the 3-dimensional nilpotent algebras, the 4-dimensional nilpotent commutative …

This paper is devoted to the complete algebraic and geometric classification of complex 4-
dimensional nilpotent weakly associative, complex 4-dimensional symmetric Leibniz …

We give algebraic and geometric classifications of 4-dimensional complex nilpotent terminal
algebras. Specifically, we find that, up to isomorphism, there are 41 one-parameter families …

Non-associative central extensions of null-filiform associative algebras - ScienceDirect Skip to
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A classification of p-nilpotent 5-dimensional restricted Lie algebras over algebraically closed
fields of characteristic p> 3 is provided. This is achieved by employing a natural restricted …

This is an abridged version of our Habilitation thesis. In these notes, we aim to summarize
our research interests and achievements as well as motivate what drives our work …

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 …

Abstract We generalize the Skjelbred–Sund method, used to classify nilpotent low-
dimensional Lie algebras, in order to classify Poisson algebras with non-trivial annihilator …