Abstract
Let R be a Noetherian domain and α an anti-integral element of degree d over R. Let a and b be elements of R. In this paper, we give a condition for R[(α − a)−1] to be coincide with R[(α − b)−1]. Moreover, we give a sufficient condition for R[α] ∩ R[α−1] to be R[α − a] ∩ R[(α − a)−1].
ACKNOWLEDGMENTS
We express our gratitude to the referee for improving our paper.