Abstract
ABSTRACTLet and denote the restricted Cartan-type Lie algebras and in a field of characteristic , respectively. We prove that each anti-symmetric biderivation of and is inner. As applications of the anti-symmetric biderivations, it is shown that commuting maps on and are scalar multiplication maps. Moreover, we prove that the commuting automorphisms and dertivations of and are the identity mappings and zero mappings, respectively.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
