Kronecker factorization theorems for the exceptional Malcev algebra

International Journal of Algebra and Computation 2026 Open access

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Authors: Victor Hugo López Solís
DOI: 10.1142/s0218196726500207
Cited by: 0
References: 20

Abstract

In this paper, 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 seven-dimensional exceptional Malcev algebra [Formula: see text] is isomorphic to a direct sum [Formula: see text], where A is an associative commutative 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 an associative supercommutative superalgebra.

Fields of Study & Subjects

Advanced Topics in Algebra Rings Modules and Algebras Homotopy and Cohomology in Algebraic Topology

Publication details

Journal / source
International Journal of Algebra and Computation
Volume
36
Issue
05
Pages
581–606
Publication date
27 February 2026
Language
EN