Research illustrates the isomorphism of Malcev algebras and superalgebras, suggesting structural insights.
We prove that a Malcev algebra [Formula: see text] that belongs to a certain variety of Malcev algebras [Formula: see text] such that [Formula: see text] contains the [Formula: see text]-dimensional exceptional Malcev algebra [Formula: see text] is isomorphic to a direct sum [Formula: see text], where [Formula: see text] is a commutative associative algebra. Also, we prove that a Malcev superalgebra [Formula: see text] in [Formula: see text] whose even part [Formula: see text] contains [Formula: see text] is isomorphic to a direct sum [Formula: see text], where [Formula: see text] is a supercommutative associative superalgebra.
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Victor López Solís (2026) studied this question.
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