Abstract
We give an algorithm for constructing a basis and a multiplication table of a finite-dimensional finitely-presented Lie ring. Secondly, we give relations that are equivalent to the n -Engel condition, and only have to be checked for the elements of a basis of a Lie ring. We apply this to construct the freest t -generator Lie rings that satisfy the n -Engel condition, for ( t , n ) = ( 2 , 3 ) , ( 3 , 3 ) , ( 4 , 3 ) , ( 2 , 4 ) .
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.
