Kronecker factorization theorems for the exceptional Malcev algebra

López Solís V. · International Journal of Algebra and Computation (2026) · DOI: 10.1142/s0218196726500207

Resumen

In this paper, we prove that a Malcev algebra M that belongs to a certain variety of Malcev algebras H such that M contains the seven-dimensional exceptional Malcev algebra M is isomorphic to a direct sum (M⊗F A)⊕N, where A is an associative commutative algebra. Also, we prove that a Malcev superalgebra M=M0⊕M1 in H whose even part M0 contains M is isomorphic to a direct sum (M⊗F A)⊕N′, where A is an associative supercommutative superalgebra.

Instituciones: Universidad Nacional de Barranca