Generalized BiHom-Lie algebras and BiHom-Yang-Baxter equations
TENG Wen1， YOU Taijie2
(1.School of Mathematics and Statistics， Guizhou University of Finance and Economics， Guiyang 550025， China；2.School of Mathematical Sciences， Guizhou Normal University， Guiyang 550025， China)
Abstract：In this paper， the notion of generalized BiHom-Lie algebras is introduced. Furthermore， some general classes of BiHom-Lie admissible algebras are constructed，and some properties of generalized BiHom-associative algebras are studied. Finally， a method to construct the solutions of the BiHom-Yang-Baxter equation from generalized BiHom-Lie algebras is obtained.
2022, Vol. 56 
