Abstract
LetR be a prime ring with a nonzero nil right ideal, and letM be the union of all nil right ideals ofR. IfW is an additive subgroup ofR which is invariant under conjugation by all special automorphisms 1+x forx ∈M, then eitherW is central orW contains a noncommutative Lie ideal ofR. Assuming thatW is invariant under only those 1+x forx ∈M andx2=0, the same conclusion holds if the extended centroid ofR is not GF(2).
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.
