title: On the solutions of some linear complex quaternionic equations.
abstract: Some complex quaternionic equations in the type AX - XB = C are investigated. For convenience, these equations were called generalized Sylvester-quaternion equations, which include the Sylvester equation as special cases. By the real matrix representations of complex quaternions, the necessary and sufficient conditions for the solvability and the general expressions of the solutions are obtained.
authors.affiliation: Department of Mathematics, Faculty of Art and Science, Mustafa Kemal University, Tayfur Sökmen Campus, 31100 Hatay, Turkey.
authors.forename: Cennet
authors.identifier: 0000-0002-5344-7135
authors.initials: C
authors.lastname: Bolat
authors.affiliation: Department of Mathematics, Faculty of Kamil Özdağ Science, Karamanoğlu Mehmetbey University, 70100 Karaman, Turkey.
authors.forename: Ahmet
authors.initials: A
authors.lastname: İpek
mesh_terms: D000465:Algorithms; D012996:Solutions
chemical_list: D012996:Solutions