Nonassociative algebras of biderivation-type

S Benayadi, H Oubba - Linear Algebra and its Applications, 2024 - Elsevier
The main purpose of this paper is to study the class of Lie-admissible algebras (A,.) such
that its product is a biderivation of the Lie algebra (A,[,]), where [,] is the commutator of the …

CLASSIFICATION OF COMPATIBLE ASSOCIATIVE ALGEBRAS AND SOME INVARIANTS

AZ ABDOU, B MOSBAHI - Available at SSRN 4877916, 2024 - papers.ssrn.com
A compatible associative algebra is a vector space equipped with two associative
multiplication structures that interact in a certain natural way. This article presents the …