Triple Derivations of Tensor Products of Nonassociative Algebras
Let [Formula: see text] and [Formula: see text] be nonassociative algebras over a field [Formula: see text]. Is every triple derivation of the tensor product algebra [Formula: see text] a derivation if the same holds true for [Formula: see text]? We show that the answer is affirmative if [Formula: see text] is unital and [Formula: see text] has a zero annihilator in [Formula: see text].
Authors
- Daniel Eremita
Institutions
- University of Maribor (SI)
- Institute of Mathematics, Physics, and Mechanics (SI)
Publication Details
- Journal
- Algebra Colloquium
- Published
- 2025-08-28
- DOI
- https://doi.org/10.1142/s1005386725000331
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00