A note on Itoh (e)-Valuation Rings of and Ideal

Youngsu Kim, Louis J. Ratliff, David E. Rush

Let $I$ be a regular proper ideal in a Noetherian ring $R$, let $e\ge 2$ be an integer, let ${\mathbf{T}}_e=R[u,tI,u^{\frac{1}{e}}{]}^{\prime }\cap R[u^{\frac{1}{e}},t^{\frac{1}{e}}]$ (where…