References
- Filippov VT. n-Lie algebras. Sib. Mat. Zh. 1985;26:126–140.
- Kurosh AG. Multioperator rings and algebras (in Russian). Uspehi Math. Nauk. 1969;24:3–15.
- Nambu Y. Generalized Hamiltonian dynamics. Phys. Rev. D. 1973;7:2405–2412.
- Loday J-L. Cyclic homology. Grundl. Math. Wiss. Vol. 301. Berlin: Springer-Verlag; 1992.
- Loday J-L. Une version non commutative des algèbres de Lie: les algèbres de Leibniz. Enseign. Math. 1993;39:269–293.
- Casas JM, Loday J-L, Pirashvili T. Leibniz n-algebras. Forum Math. 2002;14:189–207.
- Barnes DW. The Frattini argument for Lie algebras. Math. Z. 1973;133:277–283.
- Marshall E. The Frattini subalgebra of a Lie algebra. J. Lond. Math. Soc. 1967;42:416–422.
- Stitzinger EL. On the Frattini subalgebra of a Lie algebra. J. London Math. Soc. 1970;2:429–438.
- Bai RP, Chen LY, Meng DJ. The Frattini subalgebra of n-Lie algebras. Acta. Math. Sinica. 2007;23:847–856.
- Williams MP. Frattini theory for N-Lie algebras. Algebra Discrete Math. 2009;2:108–115.
- Barnes DW. Some theorems on Leibniz algebras. Comm. Algebra. 2011;39:2463–2472.
- Barnes DW. On Engel’s theorem for Leibniz algebras. Comm. Algebra. 2012;40:1388–1389.
- Batten C, Bosko-Dunbar L, Hedges A, Hird JT, Stagg K, Stitzinger E. A Frattini theory for Leibniz algebras. Comm. Algebra. in press.
- Albeverio S, Ayupov ShA, Omirov BA, Turdibaev RM. Cartan subalgebras of Leibniz n-algebras. Comm. Algebra. 2009;37:2080–2096.
- Kasymov ShM. Conjugacy of Cartan subalgebras in n-Lie algebras. Algebra Logic. 1995;34:223–231.
- Batten C, Combs A, Gin N, Hedges A, Hird JT, Zack L. Nilpotent Lie and Leibniz algebras. Comm. Algebra. in press.
- Omirov BA. Conjugacy of Cartan subalgebras of complex finite-dimensional Leibniz algebras. J. Algebra. 2006;302:887–896.
- Ayupov ShA, Omirov BA. On Leibniz algebras. Algebra and operator theory, Proceedings of the Colloquium in Tashkent 1997; Dordrecht: Kluwer Academic; 1998. p. 1–12.
- Jacobson N. Lie algebras. New York(NY): Interscience, Wiley; 1962.
- Camacho LM, Casas JM, Gómez JR, Ladra M, Omirov BA. On nilpotent Leibniz n-algebras. J. Algebra Appl. 2012;11:1250062, 17 p..
- Williams MP. Nilpotent n-Lie algebras. Comm. Algebra. 2009;37:1843–1849.
- Bai RP, Cheng LY, Liu X. On 2-solvable n-Lie algebras. Algebra Colloq. 2009;16:219–228.
- Albeverio S, Ayupov ShA, Omirov BA. Cartan subalgebras, weight spaces and criterion of solvability of finite dimensional Leibniz algebras. Rev. Mat. Complut. 2006;19:183–195.