On a problem by Nathan Jacobson for Malcev algebras

López Solís V. · Linear Algebra and Its Applications (2026) · DOI: 10.1016/j.laa.2026.01.028

Resumen

In this paper, we solve a problem for a certain class of Malcev algebras, which is an analog of an old problem posed by Nathan Jacobson for alternative algebras. Specifically, we prove a coordinatization theorem for a class of Malcev algebras M that contains the 3-dimensional simple Lie algebra sl2(F) such that msl2(F)≠0 for any 0≠m∈M. We drop the last condition and describe the structure of the same class of Malcev algebras M that contains sl2(F).

Instituciones: Universidad Nacional de Barranca