Abstract:
Let R be an integral domain and A=R[x1,…,xn] be the polynomial ring in n variables. In this article, we study the kernel of higher R-derivation D of A. It is shown that if R is a HCF ring and tr.degR(AD)≤1 then AD=R[f] for some f∈A.
Keywords:
derivation, higher derivation, kernel of derivation.