Algebraic derivations on affine domains
arXiv:1301.3259
Abstract
We observe algebraic derivations on an affine domain B defined over an algebraically closed field of characteristic 0, which are called locally finite derivations in commutative and non-commutative contexts in other references. We observe the graded ring structure which the algebraic derivation defines on B, and give characterizations of a polynomial ring in two variables in terms of algebraic derivations.
to appear in the proceedings of CAAG 2010, Bangalore