Let α be an anti-integral element of degree
t over an integral domain
R and φ
α(
X) the minimal polynomial of α over the quotient field of
R. Let β be a linear fractional transform of α, that is,
β=
cα-
d/
aα-
b(
a, b, c, d∈
R,
ad-
bc∈
R*)
where
R* is the group of units of
R. First we describe
I[β], the denominator ideal of β, in terms of
I[α] and φ
α(
a, b) where φ
α(
X, Y)=
Xtφ
α(
Y/X). Next we introduce the ideal ˜{I}
[α] concerning integral property of α and α
-1. Then we describe ˜{I}
[β] by using
I[α], φ
α(
a, b) and φ
α(
c, d).
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