A universal Kaluzhnin–Krasner embedding theorem. Joint work with B. S. Deval and T. Van der Linden. To appear in Proceedings of the American Mathematical Society, (2024). |
A characterisation of Lie algebras using ideals and subalgebras. Joint work with V. Dotsenko. Bulletin of the London Mathematical Society, 56(7), 2408–2423, (2024). |
On some properties of Lie-centroids of Leibniz algebras. Joint work with J. M. Casas. Bulletin of the Malaysian Mathematical Sciences Society, 45, 3499–3520, (2022).
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The ring of invariants of pairs of 3 × 3 matrices. Joint work with Z. Normatov and R. Turdibaev. Journal of Algebra, 603(1), 201–212, (2022). |
On the capablility of Hom-Lie algebras. Joint work with J. M. Casas. Mediterranean Journal of Mathematics, 19, Article 86, (2022). |
Some generalisations of Schur's and Baer's theorem and their connection with homological algebra. Joint work with G. Donadze. Mathematische Nachrichten, 294(11), 2129–2139, (2021). |
Algebras with representable representations. Joint work with M. Tsishyn, T. Van der Linden and C. Vienne. Proceedings of the Edinburgh Mathematical Society, 64(3), 555–573, (2021). |
Actor of a crossed module of dialgebras via tetramultipliers. Joint work with J. M. Casas, R. F. Casado and E. Khmaladze. Hacettepe Journal of Mathematics and Statistics, 50(4), 1063–1078, (2021). |
Algebraic exponentiation for Lie algebras. Joint work with J. R. A. Gray. Theory and Applications of Categories, 36(11), 288–305, (2021). |
Abelian extensions and crossed modules of Hom-Lie algebras. Joint work with J. M. Casas. Journal of Pure and Applied Algebra, 224, 987–1008, (2020). |
Conformally Einstein and Bach-flat four-dimensional homogeneous manifolds. Joint work with E. Calviño-Louzao, E. García-Río, I. Gutiérrez-Rodríguez, R. Vázquez-Lorenzo. Journal de Mathématiques Pures et Appliquées, 130, 347–374, (2019). |
A characterisation of Lie algebras amongst alternating algebras. Joint work with T. Van der Linden. Journal of Pure and Applied Algebra, 223, 4857–4870, (2019). |
A characterisation of Lie algebras via algebraic exponentiation. Joint work with T. Van der Linden. Advances in Mathematics, 341, 92–117, (2019). |
A note on split extensions of bialgebras. Joint work with T. Van der Linden. Forum Mathematicum, 30(5), 1089–1095, (2018). |
A non-abelian exterior product and homology of Leibniz algebras. Joint work with G. Donadze and E. Khmaladze. Revista Matemática Complutense, 31(1), 217–236, (2018). |
Actor of a crossed module of Leibniz algebras. Joint work with J. M. Casas, R. F. Casado and E. Khmaladze. Theory and Applications of Categories, 33(2), 23–42, (2018). |
Universal central extensions of Lie-Rinehart algebras. Joint work with J. L. Castiglioni and M. Ladra. Journal of Algebra and Applications, 17(7), 1850134, (2018). |
Do n-Lie algebras have universal enveloping algebras? Joint work with R. Turdibaev and T. Van der Linden. Journal of Lie Theory, 28(1), 43–55, (2018). |
Universal central extensions of sl(m, n, A) of small rank over associative superalgebras. Joint work with M. Ladra. Turkish Journal of Mathematics, 41(6), 1552–1569, (2017). |
A natural extension of the universal enveloping algebra functor to crossed modules of Leibniz algebras. Joint work with R. F. Casado and M. Ladra. Applied Categorical Structures, 25(6), 1059–1076, (2017). |
A new characterisation of groups amongst monoids. Applied Categorical Structures, 25(4), 659–661, (2017). |
Universal central extensions of Leibniz superalgebras over superdialgebras. Joint work with M. Ladra. Mediterranean Journal of Mathematics, 14(2), 14:73, (2017). |
Universal enveloping crossed module of Leibniz crossed modules and representations. Joint work with R. F. Casado and M. Ladra. Journal of Physics: Conference Series, 697, (2016). |
Non-abelian tensor product and homology of Lie Superalgebras. Joint work with E. Khmaladze and M. Ladra. Journal of Algebra, 440, 464–488, (2015). |