Research Communication | Open Access
Volume 2021 | Communication ID 306
Volume 2021 | Communication ID 306
| Classification of BiHomleft Leibniz algebras |
Hadjer Adimi
Received |
Accepted |
Published |
February 11, 2021 |
February 28, 2021 |
March 15, 2021 |
Abstract: Leibniz algebra appeared first in the papers of A.M. Bloh . Hom-algebra structures are given on linear spaces by products twisted by linear maps. Hom-Leibniz algebras are introduced . The authors introduced also a generalized algebraic structure endowed with two 2 commuting multiplicative linear maps, called BiHom-algebras .We give in this work BiHom-Lie algebra, at which we defined the BiHom left Leibniz algebras, and introduce the classification of 2-dimensional BiHom left Leibniz algebras.