A correction of the decomposability result in a paper by Meyer-Neutsch
arXiv:1801.02339 · doi:10.1016/j.jalgebra.2018.02.031
Abstract
In this short note, it is shown that there is a gap in the proof of Theorem 11 in the paper of Meyer and Neutsch (J. of Algebra, 1993). We prove, nevertheless, that the statement of the theorem is true and fix the proof by using a certain extremal property of idempotents which has an independent interest.
6 pages, submitted 2017
Cited by in corpus (6)
- The universality of one half in commutative nonassociative algebras with identities
- Variety of idempotents in nonassociative algebras
- Idempotent geometry in generic algebras
- The commutative nonassociative algebra of metric curvature tensors
- Harmonic cubic homogeneous polynomials such that the norm-squared of the Hessian is a multiple of the Euclidean quadratic form
- V.M. Miklyukov: from dimension 8 to nonassociative algebras