Abstract
We consider a homogeneous derivation on a finitely generated graded normal domain over a field, and give a sufficient condition for finite generation of its kernel. As its consequence, we show some sufficient conditions for finite generation of the kernel of a derivation on a polynomial ring. In particular, we prove that the kernel of a locally nilpotent monomial derivation on a polynomial ring in four variables is finitely generated.
Sign-in/Register to access full text options 
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.
