What is the name of this ring?

Let$\displaystyle \lambda = x^{N+1} + a_1 x^{N-1} + \ldots + a_N$,

$\displaystyle \lambda_x = \frac{d}{dx}\lambda$

Does anyone know the name of the ring $\displaystyle \mathcal{R} = \mathbb{C} \left[ x \right] / <\lambda_x>$ ? Where <lambdax> is all multiples of lambda x and is an ideal.

Thanks, i am investigating this ring, but we are not sure what it's name is, we thought milnor ring or jacobi ring but jacobi ring only seems to give results on google about catheter treatment. thanks in advance