Extensions R[aα] ᵔ R[(aα)‎-1] of anoetherian domain R

الملخص EN

et R be a Noetherian domain and a a super-primitive element of degree d over R.

Let R' be the set of non-zero elements a of R such that aa is a super-primitive element over R.

Set Ba = ^[aa] n /?[(aa)_l], for a e R'.

Assume that d > 3 and a, b are elements of R'.

In this paper we prove that Ba = Bb if and only if a and b are associate.

This extends [2, Theorem 3] when d >3.