Bekar, MuratYayi, Yusuf2024-02-232024-02-2320130188-70091661-4909https://doi.org/10.1007/s00006-013-0398-0https://hdl.handle.net/20.500.12452/10814An involution or anti-involution is a self-inverse linear mapping. In this paper, we present involutions and anti-involutions of dual quaternions. In order to do this, quaternion conjugate, dual conjugate and total conjugate are defined for a dual quaternion and these conjugates are used in some transformations in order to check whether involution or anti-involution axioms are being satisfied or not by these transformations. Finally, geometric interpretations of real quaternion and dual quaternion involutions and anti-involutions are given.eninfo:eu-repo/semantics/closedAccessReal QuaternionsDual NumbersDual QuaternionsInvolutionsAnti-InvolutionsArticle2335775922-s2.0-84881376575Q3WOS:000323070100004Q410.1007/s00006-013-0398-0