%0 Journal Article
%T Prime differential nilalgebra exists
%A Gleb Pogudin
%J Mathematics
%D 2013
%I arXiv
%R 10.3103/S0027132214010069
%X We construct a monomorphism from the differential algebra $k\{x\} / [x^m]$ to a Grassmann algebra endowed with a structure of differential algebra. Using this monomorphism we prove primality of $k\{x\} / [x^m]$ and its algebra of differential polynomials, solve one of Ritt's problems and give a new proof of integrality of the ideal $[x^m]$.
%U http://arxiv.org/abs/1304.5765v2